Question

1. According to a magazine, as of January 2018, 12% of chief executive officers were women....

1. According to a magazine, as of January 2018, 12% of chief executive officers were women. Complete parts A through D based on a random sample of 12 CEO's.

a. What is the probability that one corporate officer was female?

b. What is the probability that fewer than four corporate officers were female?

c. What is the probability that more than two corporate officers were female?

d. What are the mean and standard deviation for this distribution

2. According to the American Marketing Association, in one month 25% of social media users were between 25 and 34 years old. If a random sample of nine adults was selected. completed parts a through b.

a. what is the probability that exactly eight adults from this sample were between 25 and 34 years old?

b. what is the probability that exactly six adults from this sample were between 25 and 34 years old?

c. what is the probability that exactly three adults from this sample were between 25 and 34 years old?

d. what are the mean and standard deviation for this distribution?

The mean is

The standard deviation is

3. A vending machine located in a local office dispenses coffee that varies from 9.2 to 10.7 ounces. The volume of coffee dispensed follows a continuous uniform distribution. Complete parts(a0 through (g) below. (Rounded to four decimal places)

a.Calculate the value of f(x)

b. What are the mean and standard deviation for this distribution?

the mean of this distribution is_____ounces

the standard deviation of this distribution is _____ounces

c. What is the probability that the next cup of coffee will contain more than 10.4 ounces of coffee?

d.What is the probability that the next cup of coffee will contain exactly 10.3 ounces of coffee?

e. What is the probability that the next cup of coffee will contain less than 10.6 ounces of coffee?

f. What is the probability that the next cup of coffee will contain between 10.3 and 10.4 ounces of coffee?

g. What volume represents the 15th percentile of this distribution

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Answer #1

ubion:- x2 Bimomid Pix) =() p- 12-1 P: O 3529 2 I 2-X (o.12 O.9536 ( c) P(xe) 1- P(xs2y 2 12 X 0-12 (0.83) - 0.8333 Am O.166

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