36% of working mothers do not have enough money to cover their health insurance deductibles. You randomly select six working mothers and ask them whether they have enough money to cover their health insurance deductibles. The randomvariable represents the number of working mothers who do not have enough money to cover their health insurance deductibles. Complete parts (a) through (c) below.(a) Construct a binomial distribution using n= 6 and p = 0.36.P(x)1234(Round to the nearest thousandth as needed.)(b) Graph the binomial distribution using a histogram and describe its shape. Choose the correct graph below.OA.В.OC.D.P(x)0.40.35AP(x)0.4-0.AP(x)0.4-0,35AP(x)0.0.25-0.2-0.150.10.05-0.250.2-0.15-0.10.05-0+0.250.2-0.Q.0.050.25-0.2-0.15-X0.05- Describe the shape of the histogram. Choose the correct answer below.A. Skewed rightO B. Skewed leftO C. SymmetricalO D. None of these(c) What values of the random variables would you consider unusual? Explain your reasoning.The values x = 5 and x =would be unusual because their probabilities are0.05.

Binomial Distribution: In statistics, the binomial distribution is a discrete probability…

Answered: 36% of working mothers do not have…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Seventy-seven percent of U.S. college students pay their bills on time. You randomly select 4 U.S. college students and ask them whether they pay their bills on time. The random variable represents the number of U.S. college students who pay their bills on time.(a) Construct a probability distribution. (b) Graph the probability distribution using a histogram and describe its shape.(c) Find the mean, variance and standard deviation of the probability distribution and interpret the results. (Use the formulas for binomial probability distribution)
A bag has 5 apples, 10 oranges, and 5 peaches. What is the probability of pulling out an apple? Enter your answers in this order: reduced fraction, decimal, and then percent. ?(?)=P(A)= Answer (reduced fraction) == Answer (decimal) == Answer%% This is an example of Answer probability. The sample space is ?={S={Answer }}(Enter your answer in alphabetical order with a comma and no spaces.) In this case, the "event" is what? Answer. What is the probability of pulling out an orange? ?(?)=P(O)= Answer (reduced fraction) == Answer (decimal) == Answer%%. Which is more likely to occur? Answer Why? Answer
Construct a binomial distribution table for the number of defective computer chips in a lot of 4 if P=0.4. Round your answer to two decimal places.
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The time required to complete the Uniform Obstacle Course in the Statistics Games is uniformly distributed, ranging from 8 to 17 minutes. One competitor is selected at random. What is the expected time a competitor will take to complete the obstacle course? Enter Answer Here
A racing car consumes a mean of 100 gallons of gas per race with a variance of 64. If 44 racing cars are randomly selected, what is the probability that the sample mean would be greater than 98.8 gallons? Round your answer to four decimal places. Answer How to enter your answer (opens in new window) Statistical Tables Binomial Probabilities Binomial Cumulative ▾ Poisson Probabilities Poisson Cumulative Tables Keypad Keyboard Shortcuts Binomial Probabilities (n=1) Probability of Success or p 0.4 0.5 X 0.3 0.1 0.2 0.6 0 0.9000 0.8000 0.7000 0.6000 0.5000 0.4000 0.7 0.8 0.9 0.3000 0.2000 0.1000 1 0.1000 0.2000 0.3000 0.4000 0.5000 0.6000 0.7000 0.8000 0.9000 X
In a scholastic aptitude test, mean score for the three parts are:Critical reading 410Mathematics 425Writing 480Assume that the population variance on each part of the test is 6400. What is the probability a sample of 100 test takers will provide a sample mean test score within 10 points of the population mean of Critical Reading part of the test?
A popular resort hotel has 300 rooms and is usually fully booked. About 7% of the time a reservation is canceled before the 6 p.m. deadline with no penatly. What is the probability that at least 285 rooms will be occupied? Use the binomial distribution to find the exact value.

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