5.1.7 Question Help Five males with an​ X-linked genetic disorder have one child each. The random variable x is the number of children among the five who inherit the​ X-linked genetic disorder. Determine whether a probability distribution is given. If a probability distribution is​ given, find its mean and standard deviation. If a probability distribution is not​ given, identify the requirements that are not satisfied. x ​P(x) 0 0.028 0.028 1 0.153 0.153 2 0.319 0.319 3 0.319 0.319 4 0.153 0.153 5 0.028 0.028 Does the table show a probability​ distribution? Select all that apply. A. ​Yes, the table shows a probability distribution.

1. In families with four children, you’re interested in the probabilities for the different possible numbers of girls in a family. Using theoretical probability (assume girls and boys are equally likely), compile a five-column table with the headings “0” through “4,” for the five possible numbers of girl children in a four-child family. Then, using “G” for girls and “B” for boys, list under each heading the various birth-order ways of achieving that number of girls in a family.

Then, use your table to calculate the following probabilities:

a. The probability of 1 girl
b. The probability of 2 girls
c. The probability of 4 girls
d. The probability the third child born is a girl

The following chart shows the number of customer complaints from three regions of an organization for two separate years. 2018 2017 Northeast region 6,493 3,401 Southeast region 732 2,513 Central region 3,706 1,082 • Find the probability for each question. (75 words, or 1 paragraph)

o What is the probability that a complaint was from the Southeast region, given it was in 2017? o What is the probability that a complaint was from the Central region, given it was in 2018? o What is the probability that a given complaint did not occur in 2018 and was not from the Southeast region? o What is the probability that two complaints chosen at random were both from the Northeast region?

There are 11 houses on a certain block. Exactly 4 of these houses have a swimming pool. A random sample of 5 of these houses is taken. Let X be the number of houses in the sample that have a swimming pool. All answers to the thousandths place please. Thank you.

A) Find the probability that exactly one selected house has a swimming pool.

B) Find the probability that at least one selected house has a swimming pool.

C) Find the probability that no selected houses have a swimming pool.

D) Find the probability that all the selected houses have a swimming pool.

E) Find the probability that exactly two selected houses have a swimming pool.

Critical Thinking Use the data set which shows student grades and the number of homework assignments missed. You can use the pivot table feature in excel to make a crosstabulation or contingency table as a first step. Choose the best statement below.

Grades and homework data, click here https://drive.google.com/file/d/1nDzzuY-pXeRqisc9sKpuKfXOMHXkBeLv/view?usp=sharing

A. Passing the class appears to be strongly and negatively related to the number of missed homeworks. The probability of not passing the class is fairly low for students that turn in all homework assignments, moderate for students that miss one assignment and quite large for students that miss more than two assignments.

B. There appears to be only a weak relationship between the number of missed assignments and the grades.

C. Missing a homework assignment is a strong predictor of not getting an exceeds expectations grade (A or B). For student that miss one homework assignment the probability of getting an A or B is extremely small.

D. The conditional probability of missing at least one homework assignment given that a student got a C suggests that it is more likely than not that a student with a C missed at least one assignment and this is an indicator that missing a homework assignment or more increases a student's probability of getting a C.

Americans receive an average of 20 Christmas cards each year. Suppose the number of Christmas cards is normally distributed with a standard deviation of 7. Let X be the number of Christmas cards received by a randomly selected American. Round all answers to 4 decimal places where possible.

a. What is the distribution of X? X ~ N(,)

b. If an American is randomly chosen, find the probability that this American will receive no more than 24 Christmas cards this year.

c. If an American is randomly chosen, find the probability that this American will receive between 19 and 24 Christmas cards this year.

d. 69% of all Americans receive at most how many Christmas cards? (Please enter a whole number)

According to Real Clear Politics’s poll conducted in the first half of January 2015, 32% of respondents say that the country is going to the right direction while 58% of them say the country is on the wrong track, while the rest have no opinion. a. Of 30 respondents, find the expected number of respondents without opinion. b. Of 70 respondents, find the standard deviation of the number of respondents saying the country is going to the right direction. c. Find the probability that, of 8 voters, at least 5 of them say the country is on the wrong track. d. Find the probability that any of those 8 respondents has/have no opinion. e. Of 30 respondents, find the “usual” interval for the number of responding without opinion.

Innocent until proven guilty? In Japanese criminal trials, about 95% of the defendants are found guilty. In the United States, about 60% of the defendants are found guilty in criminal trials. (Source: The Book of Risks, by Larry Laudan, John Wiley and Sons) Suppose you are a news reporter following five criminal trials. (For each answer, enter a number.)

(a)

If the trials were in Japan, what is the probability that all the defendants would be found guilty?

What is this probability if the trials were in the United States?

(b)

Of the five trials, what is the expected number of guilty verdicts in Japan?

What is the expected number in the United Sates?

What is the standard deviation in Japan?

What is the standard deviation in the United States?