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For Ryan: I am working...

For Ryan: I am working on my study guide and there are a few questions that I am unsure on how to do them. Please show your work so I can follow it step by step. They are mainly on Binomial Distribution, hypergeometric, poisson and normal distribution. Please identify which one it is and why? Also, on the normal distribution questions please explain where the numbers were taken from-- such as table in the back of the book...

1)Ten families live in Smallville, KS. A sample of five families are surveyed as to the number of children in the family. The sample data (number of children in the family) is as follows: 2, 7, 3, 2, 6.

a)Calculate the sample mean number of children.

b)Calculate the sample standard deviation number of children.

2)The ten families living in Smallville, KS own forty TVs, of which twenty-eight TVs were made in America. If the local TV repair shop randomly selects five different TVs for inclusion in a production study, what is the probability of the following:

a)None of the TVs was made in America?

b)At least one of the TVs was made in America?

3)The State of KS averages four serial crimes per 100 crimes. If 50 crimes are randomly selected, what is the probability of the following:

a)Exactly one crime will be a serial crime?

b)At most three crimes will be serial crimes?

c)Over nine crimes will be serial crimes?

4)In the State of KS, 40 percent of all e-mails deal in some way with the depressed U.S. economy. If a random sample of 10 e-mails are selected, what is the probability of the following:

a)Exactly 6 e-mails deal in some way with the depressed U.S. economy?

b)Exactly 6 e-mails do not deal in some way with the depressed U.S. economy?

c)More than 6 e-mails deal in some way with the depressed U.S. economy?

5)U.S. Bureau of the Census data reveal the largest town in the State of KS has a population of one million families. The data show that acreage owned per family is normally distributed with a mean of 10.0 acres and a standard deviation of 1.5 acres. Calculate the following:

a)The percentage of families that own at least 8.1 acres.

b)The number of families that own at least 8.1 acres.

c)The percentage of families that own between 7.0 and 8.1 acres.

d)The minimum acreage owned by the 5% of families owning the largest amount of acreage.

Thanks for your help-- once again.

1)Ten families live in Smallville, KS. A sample of five families are surveyed as to the number of children in the family. The sample data (number of children in the family) is as follows: 2, 7, 3, 2, 6.

a)Calculate the sample mean number of children.

b)Calculate the sample standard deviation number of children.

2)The ten families living in Smallville, KS own forty TVs, of which twenty-eight TVs were made in America. If the local TV repair shop randomly selects five different TVs for inclusion in a production study, what is the probability of the following:

a)None of the TVs was made in America?

b)At least one of the TVs was made in America?

3)The State of KS averages four serial crimes per 100 crimes. If 50 crimes are randomly selected, what is the probability of the following:

a)Exactly one crime will be a serial crime?

b)At most three crimes will be serial crimes?

c)Over nine crimes will be serial crimes?

4)In the State of KS, 40 percent of all e-mails deal in some way with the depressed U.S. economy. If a random sample of 10 e-mails are selected, what is the probability of the following:

a)Exactly 6 e-mails deal in some way with the depressed U.S. economy?

b)Exactly 6 e-mails do not deal in some way with the depressed U.S. economy?

c)More than 6 e-mails deal in some way with the depressed U.S. economy?

5)U.S. Bureau of the Census data reveal the largest town in the State of KS has a population of one million families. The data show that acreage owned per family is normally distributed with a mean of 10.0 acres and a standard deviation of 1.5 acres. Calculate the following:

a)The percentage of families that own at least 8.1 acres.

b)The number of families that own at least 8.1 acres.

c)The percentage of families that own between 7.0 and 8.1 acres.

d)The minimum acreage owned by the 5% of families owning the largest amount of acreage.

Thanks for your help-- once again.

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