Question 1: It is known that70% of adult workers have a high school diploma. If a random sample of 6adult workers is selected, what is the probability that 5or more of them have a high school diploma?(That is, find P(X5)) (keep 4 decimal places)

Question # 2: The number of M&M's for each color found in a case were recorded in the table below.

Blue 481

Brown 371

Green 483

Orange 544

Red 372

Yellow 369

Total: 2620

What is the probability of selecting a red M&M? Round answer to 4 decimal places.

Question 3: The random variable X = the number of vehicles owned. Find the standard deviation of the number of vehicles owned. Round answer to 4 decimal places.

X 0, 1, 2, 3, 4

P(X) 0.1, 0.35, 0,25, 0.2, 0.1

Question 4: The following table summarizes the distribution of students by the academic classin aclass.

Frequency:

Freshman 23

Sophomore 16

Junior 10

Senior 1

If a student is randomly selected fromthis class, then what is the probability that this student will be a senior? (keep 2decimal places)

If a student is randomly selected fromthis class, then what is the probability that this student will be a senioror freshman? (keep 2 decimal places)

Question 5: It is known that30% of adult workers have a high school diploma. If a random sample of 15adult workers is selected, what is the probability that 9of them have a high school diploma?(That is, what is P(X=9?)) (keep 4 decimal places)

Question 6: Suppose a random variable,x, arises from a binomial experiment. Ifn= 14, andp= 0.13, find the P(X 3) using Excel. Round answer to 4 decimal places.

Question 7: Suppose that a marketing firm sends questionnaires to two different companies. Based on historical evidence, the marketing research firm believes that each company, independently of the other, will return the questionnaire with a probability of 0.30. What is the probability that neither of the questionnaires will be returned? Place your answer, rounded to 2 decimal places, in the blank. For example, 0.23 is a legitimate entry.

Question 8: A coffee shop serves an average of 75 customers per hour during the morning rush. Find the probability that less than 60 customers arrive in an hour during tomorrow's morning rush. Round answer to 4 decimal places.

Question 9: It is known that40% of adult workers have a high school diploma. If a random sample of 14adult workers is selected, what is the expected number of adult workers with a high school diploma?(That is, what is E(X)?)(Do not roundanswer)

Question 10: Suppose a random variable,x, follows a Poisson distribution. Let = 2.5every minute, find the P(X 125)over an hour. Round answer to 4 decimal places.