Questions based on Table 10.35: The objective is to test if the probability of malebirth is 50%(a) Assuming the probability of male birth is 50%, using the binomial distribution,find the probabilities for all categories (# male offspring = 0,1,2,3,4,5)(b) Based on the data, test the hypothesis that the probability of male birth differentthan 50% TABLE 10.35 Frequency distribution of number ofmale offspring in families of size 5Number of male offspring012345Total518224546214753247654915,162Suppose the investigators doubt the probability of a malebirth is exactly 50% but are willing to assume the genderdistributions of successive offspring are independent.

Observed frequency distribution of no. of male offspring is: No. of male offspring n 0 518 1…

Answered: Questions based on Table 10.35: The…

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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4. Build the theoretical probability table based on the distribution above. Use the binomial distribution with the theoretical probability and number of trials with each possible value. (To calculate the first value where x = 0, use binomialpdf(n, p, 0), where n and p are your theoretical probability and the number of draws. Do the same thing for x = 1 with binomialpdf(n, p, 1), etc.) x P(x) 0 1 2 3 4 5 6 7 8 9 10
The mean height of women in a country (ages 20−29) is 63.6 inches. A random sample of 70 women in this age group is selected. What is the probability that the mean height for the sample is greater than 64 inches? Assume σ=2.79. The probability that the mean height for the sample is greater than 64 inches is _________.
Researchers are concerned about the rise in gun violence in their community among the adolescent population. Suppose the researchers believe that this rise in violence is due to an increase in depressive symptoms among the demographic aged 11-17. Suppose the researchers estimate that only 21% of this population suffers from depressive-like symptoms. Use a binomial distribution to solve for the following. a) What is the probability of finding no one with depressive-like symptoms in a sample of 8? b) What is the probability that at least 2 respondents of a sample of 8 report these symptoms? c) What is the expected number of adolescents in the sample to report the symptoms?
1)Find the probability distribution for this data. (Round probabilities three decimal places)2) Find the expected number (mean) of speeding tickets Tia issues per day (round three decimal places).3) Interpret the mean in the context of the problem
The table below lists a random sample of 50 speeding tickets on a highway 0-10 mph over limit 10-20 mph over limit More than 20 mph over limit Male 5 16 14 Female 3 8 4 Use the table to answer the following questions. (a) If a random ticket was selected, what would be the probability that the driver was female? (b) Given that a particular ticket had a male offender, what is the probability that they were more than 20 mph over the limit? (c) Given that a particular ticket was 10-20 mph over the limit, what is the probability that the driver was female?
A concern for many adults is that computers and the Internet are reducing privacy. A survey conducted by Peter D. Hart Research Associates for the Shell Poll was reported in the USA Today. According to the survey, 37% of adults are concerned that employers are monitoring phone calls. Use the binomial distribution formula to calculate the probability that out of five adults, exactly three are concerned that employers are monitoring their phone calls. Select one: O a. 1.85 Ob. 0.799 Oc. 0.201 d. 3.15
2 of 4 (0 complete) Using the data given below, determine whether it would unusual for a household to have no HD televisions. The number of televisions (HD) per household in a small town Televisions 1 Households 26 445 655 1474 P(x) 0.010 0.171 0.252 0.567 Choose the correct answer below. O A. It would be unusual because the probability of having no HD televisions is less than 0.05. O B. It would not be unusual because the probability of having no HD televisions is more than 0.05. OC. It would not be unusual because 26 people have no HD televisions in the town. O D. It would be unusual because 26 people have no HD televisions in the town. Click to select your answer.
About 69% of people who are murdered knew the person who committed the murder. Suppose that Detective Williams's case load currently has 49 unsolved murders. Use a nomal distribution approximation to the binomial distribution to find the following probabilities: a. What is the probability that at least 30 of the victims among Detective Williams's case files knew their murderer? b. What is the probability that between 30 and 39 of the victims knew their murderer?
I. Boston Children’s Hospital estimates that 90% of Americans have had chickenpoxby the time they reach adulthood.32(a) Suppose we take a random sample of 100 American adults. Is the use of the binomial distributionappropriate for calculating the probability that exactly 97 out of 100 randomly sampled Americanadults had chickenpox during childhood? Explain.(b) Calculate the probability that exactly 97 out of 100 randomly sampled American adults had chickenpoxduring childhood.(c) What is the probability that exactly 3 out of a new sample of 100 American adults have not hadchickenpox in their childhood?(d) What is the probability that at least 1 out of 10 randomly sampled American adults have had chickenpox?(e) What is the probability that at most 3 out of 10 randomly sampled American adults have not hadchickenpox?

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