• A hypothetical population consists of eight individuals ages13,15,16,21,22,23,24, and30years. (Enter your answers to three decimal places.)

(a) What is the probability that a person in this population is a teenager?

(b) What is the probability of selecting a participant older than 30?

(c) What is the probability of selecting a participant who is at least 20 years old?

• A normal distribution has a standard deviation equal to37. What is the mean of this normal distribution if the probability of scoring abovex=218

is 0.0228? (Round your answer to one decimal place.)

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You may need to use the appropriate table inAppendix Cto answer this question.

• According to national data, about10%of American college students earn a graduate degree. Using this estimate, what is the probability that exactly24undergraduates in a random sample of 200 students will earn a college degree?Hint:Use the normal approximation to the binomial distribution, wherep=0.1

andq=0.9.

(Round your answer to four decimal places.)

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You may need to use the appropriate table inAppendix Cto answer this question