Apu math 302 midterm exam

Part 1 of 9 –  1.0/ 1.0 Points

Question 1 of 25 1.0/ 1.0 Points
Which measure of central location is meaningful when the data are categorical?

   A.The mode

  B.The median

  C.The mean

  D.The range

Part 2 of 9 –  2.0/ 2.0 Points

Question 2 of 25 1.0/ 1.0 Points
What type of probability uses sample spaces to determine the numerical probability that an event will occur?

  A.subjective probability

  B.empirical probability

  C.conditional probability 
   D.classical probability

Question 3 of 25 1.0/ 1.0 Points
The formal way to revise probabilities based on new information is to use:

  A.common sense probabilities 
  B.unilateral probabilities

  C.complementary probabilities 
   D.conditional probabilities

Part 3 of 9 –  3.0/ 3.0 Points

Question 4 of 25 1.0/ 1.0 Points
Suppose that 50 identical batteries are being tested. After 8 hours of continuous use, assume that a given battery is still operating with a probability of 0.70 and has failed with a probability of 0.30.

What is the probability that fewer than 40 batteries will last at least 8 hours?

  A.0.0789

  B.0.9598

  C.0.7986

   D.0.9211

Question 5 of 25 1.0/ 1.0 Points
Find the variance of the following probability distribution.
X P(X)
1 0.20
2 0.15
3 0.25
4 0.25
5 0.15

  A.1.34

   B.1.8

  C.0.48

  D.1.16

Question 6 of 25 1.0/ 1.0 Points
Which term is NOT synonymous with the expected value of a discrete probability distribution?

  A.mean

   B.variance

  C.theoretical average

  D.μ

Part 4 of 9 –  5.0/ 6.0 Points

Question 7 of 25 1.0/ 1.0 Points
Given that Z is a standard normal random variable, P(-1.0 < Z < 1.5) is

  A.0.8413

  B.0.0919

  C.0.9332

   D.0.7745

Question 8 of 25 1.0/ 1.0 Points
The continuous distribution characterized by a symmetric, bell-shaped curve is the:

  A.binomial distribution

  B.Poisson distribution

  C.exponential distribution 
   D.normal distribution

Question 9 of 25 0.0/ 1.0 Points
The standard deviation of a probability distribution must be:

   A.a number between 0 and 1

  B.less than the value of the mean

  C.a negative number

  D.a nonnegative number

Question 10 of 25 1.0/ 1.0 Points
Given that Z is a standard normal variable, the value z for which P(Z < z) = 0.2580 is

  A.-0.70

  B.0.758

  C.0.242

   D.-0.65

Question 11 of 25 1.0/ 1.0 Points
The standard normal distribution has a mean of ___ and standard deviation of ___, respectively.

  A.1 and 1

  B.1 and 0

   C.0 and 1

  D.0 and 0

Question 12 of 25 1.0/ 1.0 Points
One reason for standardizing random variables is to measure variables with:

  A.similar means and standard deviations on two scales

   B.different means and standard deviations on a single scale

  C.dissimilar means and similar standard deviations in like terms

  D.different means and standard deviations on a non-standard scale

Part 5 of 9 –  0.0/ 1.0 Points

Question 13 of 25 0.0/ 1.0 Points

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), “E” or “e” (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.
Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

The following data represent the number of children in a sample of 10 families from Chicago: 4, 2, 1, 1, 5, 3, 0, 1, 0, and 2.

Compute the variance of the data. Place your answer, rounded to two decimal places, in the blank. For example, 3.45 would be a legitimate entry. 

Part 6 of 9 –  1.0/ 2.0 Points

Question 14 of 25 1.0/ 1.0 Points

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), “E” or “e” (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.
Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

Find the mean of the following probability distribution.
X 1 2 3 4 5
P(X) 0.20 0.10 0.35 0.05 0.30

Round your answer to two decimal place as necessary. For example, 4.56 would be a legitimate entry.

Question 15 of 25 0.0/ 1.0 Points

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), “E” or “e” (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.
Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.
The following data were obtained from a survey of college students. The variable X represents the number of non-assigned books read during the past six months.
 
x 0 1 2 3 4 5 6
 P (X=x) 0.55 0.15 0.10 0.10 0.04 0.03 0.03

Find P(1 < X < 5).  Place your answer, rounded to two decimal places in the blank.  For example, 0.56 would be a legitimate entry.  

Part 7 of 9 –  0.0/ 2.0 Points

Question 16 of 25 0.0/ 1.0 Points

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), “E” or “e” (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.
Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.
An ice cream vendor sells three flavors: chocolate, strawberry, and vanilla. Forty five percent of the sales are chocolate, while 30% are strawberry, with the rest vanilla flavored. Sales are by the cone or the cup. The percentages of cones sales for chocolate, strawberry, and vanilla, are 75%, 60%, and 40%, respectively. For a randomly selected sale, define the following events:
 = chocolate chosen
 = strawberry chosen
 = vanilla chosen
 = ice cream on a cone
 ice cream in a cup

Find the probability that the ice cream was sold in a cup and was strawberry flavor. Place your answer, rounded to 2 decimal places, in the blank. For exampe, 0.34 would be a legitimate entry. 

Question 17 of 25 0.0/ 1.0 Points

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), “E” or “e” (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.
Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

A reading list for a course contains 20 articles. How many ways are there to choose three articles from this list? Place your answer in the blank. Do not use any decimal places or commas. For example, 45 would be a legitimate entry. 

Part 8 of 9 –  4.0/ 6.0 Points

Question 18 of 25 1.0/ 1.0 Points

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), “E” or “e” (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.
Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

Suppose that the average weekly earnings for employees in general automotive repair shops is $450, and that the standard deviation for the weekly earnings for such employees is $50. A sample of 100 such employees is selected at random.

Find probability that the mean of the sample is less than $445. Place your answer, rounded to 4 decimal places, in the blank. For example, 0.2345 would be a legitimate entry.

Question 19 of 25 0.0/ 1.0 Points

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), “E” or “e” (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.
Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

Suppose that the average weekly earnings for employees in general automotive repair shops is $450, and that the standard deviation for the weekly earnings for such employees is $50. A sample of 100 such employees is selected at random.

Find the mean of the sampling distribution of the means of average weekly earnings for samples of size 100. Place your answer in the blank. Do not include a dollar sign. For example, 123 would be a legitimate entry. 

Question 20 of 25 1.0/ 1.0 Points

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), “E” or “e” (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.
Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

A popular retail store knows that the purchase amounts by its customers is a random variable that follows a normal distribution with a mean of $30 and a standard deviation of $9.

What is the probability that a randomly selected customer will spend between $20 and $35 at this store? Place your answer, rounded to 4 decimal places, in the blank. For example, 0.3456 would be a legitimate entry.

Question 21 of 25 1.0/ 1.0 Points

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), “E” or “e” (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.
Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

A Wendy’s fast-food restaurant sells hamburgers and chicken sandwiches. On a typical weekday, the demand for hamburgers is normally distributed with a mean of 450 and standard deviation of 80 and the demand for chicken sandwiches is normally distributed with a mean of 120 and standard deviation of 30.

How many chicken sandwiches must the restaurant stock to be 99% sure of not running out on a given day? Place you answer, rounded to the nearest whole number in the blank. For example, 345 would be a legitimate entry. 

 

Question 22 of 25 1.0/ 1.0 Points

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), “E” or “e” (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.
Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.
The mean weight of loads of coal placed in train cars by a loading machine is 43.0 tons with a standard deviation of 8.0 tons. Assuming that the weight of loads placed in the train cars by this loader are normally distributed, if a random sample of 9 loads is chosen for a weight check, find the probability that the mean weight of those loads is more than 40.60 tons.
 
Place your answer, rounded to four decimal places, in the blank.    0.8159 When entering your answer do not use any labels or symbols other than a decimal point. Simply provide the numerical value. For example, 0.1234 would be a legitimate entry.

 

Question 23 of 25 0.0/ 1.0 Points

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), “E” or “e” (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.
Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

Scores on a mathematics examination appear to follow a normal distribution with mean of 65 and standard deviation of 15. The instructor wishes to give a grade of “C” to students scoring between the 60th and 70th percentiles on the exam.

What score represents the 70th percentile score on the mathematics exam? Place your answer in the blank, rounded to a whole number. For example, 62 would be a legitimate entry. 

 

Part 9 of 9 –  2.0/ 2.0 Points

Question 24 of 25 1.0/ 1.0 Points
Using the standard normal curve, the Z- score representing the 85th percentile is 0.67

 
  True

 False

 

Question 25 of 25 1.0/ 1.0 Points
The sampling distribution of the mean will have the same mean as the original population from which the samples were drawn.

 

  True

 False

 

Get 20% Discount on This Paper
Pages (550 words)
Approximate price: -

Try it now!

Get 20% Discount on This Paper

We'll send you the first draft for approval by at
Total price:
$0.00

How it works?

Follow these simple steps to get your paper done

Place your order

Fill in the order form and provide all details of your assignment.

Proceed with the payment

Choose the payment system that suits you most.

Receive the final file

Once your paper is ready, we will email it to you.

Our Services

Custom Writings Help is a Quality-Oriented Company in Online Writing as a result of hiring exceptional professionals to execute clients' tasks.

Essays

Research Papers

At Custom Writings Help,We understand the struggle of research paper writing, and that is why at Custom WritingS Help, we are all out to help you. We pride ourselves on having a team of clinical writers. The stringent and rigorous vetting process ensures that only the 'BEST' Writers are chosen for the job. We have highly qualified Ph.D. and MA writers working with us; we equally offer these experienced writers specific bonuses and incentives to make them deliver highly original, unique, and informative content at reasonably low prices.

Admissions

Thesis Writing Service

Worlwide, Many Masters Students are struggling with Thesis Completion. A thesis is likely to be the longest and most challenging piece of work a student has ever completed. However, unlike essays and other assignments, a student can pick a particular interest topic and work on their initiative. Fortunately, we are there for you. At Custom Writings Help, you are assured of an authentic, imaginative, informative, linguistically great, and advantageous thesis that adheres to all your needs. So, why continue considering different writers when you have discovered the best in the field?

Editing

Custom Papers

Not a single student can avoid writing custom papers. However, a total lack of experience, skills, and time makes it very hard to produce a superb writing piece. Therefore, if you are seeking professional help, turn to us. Our specialized and experienced writers compose a variety of model papers, including custom essays, college term papers, research papers, book reports, MBA essays, executive summaries, dissertations, Ph.D. theses, admission essays, and research proposals for college and university students at any level.

Coursework

Essay Writing

Most of the students disregard the critical principles of essay writing and compose papers below sensible guidelines. Therefore, with Custom Writings Help, one should not worry about his/her essay. Our Writers compose informative and engaging content on all complexities and topics. We write meaningful and smart essays while prioritizing all aspects that bring about a good grade, such as impeccable grammar, proper structure, zero-plagiarism, and conformance to guidelines.

Coursework

Coourse Work Writing

Don't let the seemingly never-ending onslaught of writing assignments get you down. If you are looking where to get course work assistance online, the writers at Custom Writings Help are here to assist you with all of your writing needs. We undertake to unique delivery of papers that meet the professor's requirements. The content is proofread, edited, and checked plagiarism before submission to customers. No matter how big or small your work is, we will deliver on time. Try US Now! !

Coursework

Dissertation Writing Service

High-Quality Dissertation Writing Services are rare. They require Ph.D. academicians – not easily found. However, are an exception. The years, time, and resources we have invested in the dissertation world has given us a competitive advantage over others. Choose to come to Custom Writings Help; You will find perfect Ph.D. consultants who have written hundreds of dissertations theses ready to help you. Let our dissertation-writing services help you craft your dissertation, for you are assured we will give you the results.