High school students in Michigan sometimes get "snow days" in the winter when the roads are so bad thatschool is canceled for the day. Define the random variableX = the number of snow days at a certain high schoolin Michigan for a randomly selected school year. Suppose the table below gives the probability distribution of X.1.Value x,1.345678910Probability p, ? 0.19 0.14 0.10 0.07 0.05 0.04 0.04 0.02 0.01 0.01(a) Write the event “the school year has O snow days" in terms of X. Then find its probability.(b) At this high school, if more than 5 snow days are used over the course of the year, students are required tomake up the time at the end of the school year. What's the probability that a randomly selected school year willrequire make-up days?

Random variables are of 2 types, discrete and continuous. A discrete random variable can only take…

Answered: High school students in Michigan…

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

Construct a probability distribution and its corresponding histogram. The probabilities that a randomly selected home garage space for 0, 1 , 2, or 3 cars are 0.22, 0.33, 0.37 and 0.08, respectively.
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.
Part C
random variable, y, has a known probability distribution given by Y :2,4,6,8,10 and P 0.17.0.23, 0.2.0.3.0.1 the expected value of y is 5 O a. True Ob. False
Refer to this figure to answer number 8- 10. The table below show the probability distribution of number of face mask sold per day. 1 2 3 5 6. 7 8. 10 0.07 P(x) P/x) 0.16 0.07 0.1 0.09 0.1 0.07 0.08 0.1 0.17 0.56 1.4 1.96 5.76 11.56 0.16 0.40 0.16 0.14 0.3 0.36 0.5 0.42 0.56 0.9 1.7 X-U -4.6 -3.6 -2.6 -1.6 -0.6 0.4 2.4 3.4 4.4 (x-)A2 (x-u)A2 *P(x) 21.16 12.96 6.76 2.56 0.36 0.16 19.36 3.39 0.91 0.68 0.23 0.04 0.01 1.16 3.29 8. What is ExP(x) =? A. 5.6 B. 6.5 C.7 D. 8 9. What is a? = E[(x - 4) P(x)] A. 5.9 %3D В. 8.6 С. 10.25 D. 11.35 10. If the standard deviation of the variance of problem number 9 is 3.20156, then how do we get the value of standard deviation given the value of variance? A. Vo? B. Va C. uP(x) D. o ololo-
The number of household members, x, living in Cityville homes has the following probability distribution: 1 3 4 7 8 P(x) 0.21 0.28 0.16 0.22 0.06 0.04 0.02 0.01 What is the expected size of a household in Cityville? O 3.17 0 4.50 O 2.89 O 2.43
Assume that 12 jurors are randomly selected from a population in which 60% of the people are Mexican-Americans. Refer to the probability distribution table below and find the indicated probabilities. Number of Mexican-Americans Probability 0 0 1 0.0003 2 0.0025 3 0.0125 4 0.042 5 0.1009 6 0.1766 7 0.227 8 0.2128 9 0.1419 10 0.0639 11 0.0174 12 0.0022 a) Find the probability of at most 4 Mexican-Americans among 12 jurors. Give answer as a decimal. b) Find the probability of more than 4 Mexican-Americans among 12 jurors. Give answer as a decimal.
A psychologist determined that the number of sessions required to obtain the trust of a new patient is either 1, 2, or 3. Let x be a random variable indicating the number of sessions re- quired to gain the patient's trust. The following probability function has been proposed. f(x) = for x = 1, 2, or 3 6. Is this probability function valid? Explain. b. What is the probability that it takes exactly two sessions to gain the patient's trust? с. What is the probability that it takes at least two sessions to gain the patient's trust?
Discrete Probability Distributions Worksheet 1. You flip four coins. Let X, the random variable, be the number of heads on all four coins. a. List the sample space for the experiment. b. What are the possible values for x? c. Is the random variable, x, continuous or discrete? d. Construct a probability distribution for this experiment. (X) e. Construct a histogram for the probability distribution in the space below. 2. Determine if the following are probability distributions (if no, state why). а. X 6. P(X) 4/9 12 15 3. 6. 1 2 3 4 5 P(X) 3/10 1/10 1/10 2/10 3/10 20 30 40 50 1.1 0.2 0.9 0.3 (X)
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
Suppose you called your local pharmacy to refill a prescription and are put on hold. Assume that the amount of time you will spend on hold is somewhere between 0 and 13 minutes and it follows a uniform distribution. What is the probability you will be on hold for exactly 8 minutes?
Answer number 3

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