West Virginia has one of the highest divorce rates in the nation, with an annual rate of approximately 5 divorces per 1,000 people. The Marital Counseling Center, Inc. (MCC) thinks that the high divorce rate in the state mayrequire them to hire additional staff. Working with a consultant, the management of MCC has developed the following probability distribution for x = the number of new clients for marriage counseling for the next year.X102030f(x)0.050.100.1040 0.2050 0.3560 0.20(a) Is this probability distribution valid? Explain.This probability distribution ---Select--- valid because ---Select---(b) What is the probability MCC will obtain more than 30 new clients?(c) What is the probability MCC will obtain fewer than 20 new clients?(d) Compute the expected value and variance of x.expected value of x =variance of x =for x = 10, 20, 30, 40, 50, 60. Also, f(x) = [

xf(x)100.05200.10300.10400.20500.35600.20

Answered: West Virginia has one of the highest…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

In deciding how many customer service representatives to hire and in planning their schedules, it is important for a firm marketing electronic typewriters to study repair times for the machines. Such a study revealed that repair times have approximately an exponential distribution with a mean of 42 minutes. Find the probability that a repair time will last less than 17 minutes.
At a certain large company, the floor manager reviewing inventory and production. She ultimately comes to the decision that a product should be continued if it sold 150,000 times over the previous year. In addition, the product is considered “popular” if it receives at least 100 mentions by the local press over the past year. An analyst is hired to help with the analysis. The analyst determines that the probability of sales exceeding 150,000 was 0.331, the probability of 100 or more mentions was 0.162, and the probability that a product both sold 150,000 items, and was also ‘popular’ is 0.064. What is the probability that a randomly selected product either sold the requisite 150,000 items, or that it is ‘popular’? Again, phrase your answers in terms of probability variables (e.g. P(X) = ..., P(Y)=... etc.) If we are told that an item has indeed reached the threshold of 100 mentions in the press, what is the probability of it selling 150,000 times? Thought Question: Where would the…
An article in The New York Times reports that several hedge fund managers now make more than a billion dollars a year.2 Suppose that the annual income of a hedge fund manager in the top tier, in millions of dollars a year, is given by the following probability distribution: x ($ millions) P(x) $1,700 0.2 1,500 0.2 1,200 0.3 1,000 0.1 800 0.1 600 0.05 400 0.05 Suppose that hedge funds must withhold $300 million from the income of the manager and an additional 5% of the remaining income. Find the expected net income of a manager in this group. What property of expected values are you using?
USA Today reported that approximately 25% of all state prison inmates released on parole become repeat offenders while on parole. Suppose the parole board is examining five prisoners up for parole. Let x = number of prisoners out of five on parole who become repeat offenders. x 0 1 2 3 4 5 P(x) 0.223 0.386 0.211 0.134 0.045 0.001 (a) Find the probability that one or more of the five parolees will be repeat offenders. (Round your answer to three decimal places.)How does this number relate to the probability that none of the parolees will be repeat offenders? This is twice the probability of no repeat offenders.These probabilities are the same. These probabilities are not related to each other.This is the complement of the probability of no repeat offenders.This is five times the probability of no repeat offenders. (b) Find the probability that two or more of the five parolees will be repeat offenders. (Round your answer to three decimal places.)(c) Find the probability that…
An insurance company will insure a $75,000 automobile for its full value against theft by apolicy with a premium of $1,500 per year. Suppose that the probability that the automobile willbe stolen is 0.0075.a. Construct the probability distribution.b. Calculate the insurance company's expected net profit for this policy.
Let X = {Email, In Person, Instant Message, Text Message}; P(Email) = 0.06 P(In Person) = 0.55 P(Instant Message) = 0.24 P(Text Message) = 0.15 Is this model a probability distribution? A. Yes. B. No. C. Maybe.
The management of Brinkley Corporation is interested in using simulation to estimate the profit per unit for a new product. The selling price for the product will be $45 per unit. Probability distributions for the purchase cost, the labor cost, and the transportation cost are estimated as follows: Procurement Cost ($) Probability Labor Cost ($) Probability Transportation Cost ($) Probability 10 0.25 20 0.10 3 0.75 11 0.45 22 0.25 5 0.25 12 0.30 24 0.35 25 0.30 Compute profit per unit for the base-case, worst-case, and best-case scenarios. Construct a simulation model to estimate the mean profit per unit. Why is the simulation approach to risk analysis preferable to generating a variety of what-if scenarios? Management believes the project may not be sustainable if the profit per unit is less than $5. Use simulation to estimate the probability the profit per unit will be less than $5.
The joint probability distribution of the number X of cars and the number Y of buses per signal cycle at a proposed left-turn lane is displayed in the accompanying joint probability table below. y P(xy) 1 2. 0. .025 .015 .010 .050 .030 020 2. .125 .075 050 3. 150 090 060 4. 100 .060 040 050 .030 .020 Suppose the left-turn lane is to have a capacity of six cars, and that one bus is equivalent to three cars. What is the probability of an overflow duringa cycle? Select one: O 48 O 28 O38 0.18
The cost of an automobile insurance policy depends on many factors, including marital status, where you live, credit score, age of the car, and driving history. Suppose that for some driver category, the probability distribution for the random variable Y, the amount (in dollars) of a collision deductible on a random automobile policy, is given in the table. 100 200 500 1000 p(y) 0.05 0.11 0.21 0.25 0.38 Suppose two policies are selected at random. What is the probability that at least one has a collision deductible of $500 or less? (Use decimal notation. Give your answer as an exact number.) probability:
USA Today reported that approximately 25% of all state prison inmates released on parole become repeat offenders while on parole. Suppose the parole board is examining five prisoners up for parole. Let x = number of prisoners out of five on parole who become repeat offenders. x 0 1 2 3 4 5 P(x) 0.213 0.370 0.224 0.174 0.018 0.001 (a) Find the probability that one or more of the five parolees will be repeat offenders. (Round your answer to three decimal places.) (b) Find the probability that two or more of the five parolees will be repeat offenders. (Round your answer to three decimal places.)(c) Find the probability that four or more of the five parolees will be repeat offenders. (Round your answer to three decimal places.)(d) Compute ?, the expected number of repeat offenders out of five. (Round your answer to three decimal places.)? = prisoners(e) Compute ?, the standard deviation of the number of repeat offenders out of five. (Round your answer to two decimal places.)? =…
A food truck near the University of Windsor specializes in healthy sandwiches. The sandwiches are prepared fresh each morning and any unsold sandwiches are donated to a food bank. Each sandwich costs $6 to make and sells for $10. The daily number of sandwiches sold, x, has the following distribution: (shown in image) a. Fill in the missing probability in the table above b. What is the expected daily profit? (hint: find the mean of x and multiply it by profit per sandwich) c. Find the mean, variance and standard deviation of the number of daily number of sandwiches sold. d. What is P(x  2| x < 4)?
A ballet instructor is interested in knowing what percent of each year's class will continue on to the next, so that she can plan what classes to offer. Over the years, she has established the following probability distribution. • Let X = the number of years a student will study ballet with the teacher. • Let P(x) = the probability that a student will study ballet x years. Complete the table below using the data provided. (Enter exact numbers as integers, fractions, or decimals.) x P(x) x*P(x) 1 0.10 2 0.10 3 0.20 4 5 0.20 6 0.20 7 0.05

SEE MORE QUESTIONS

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS