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(Use computer) Suppose 42% of recent college graduates plan on pursuing a graduate degree. Eighteen recent...

(Use computer) Suppose 42% of recent college graduates plan on pursuing a graduate degree. Eighteen recent college graduates are randomly selected. a. What is the probability that no more than five of the college graduates plan to pursue a graduate degree? (Round your final answer to 4 decimal places.) Probability b. What is the probability that exactly eight of the college graduates plan to pursue a graduate degree? (Round your final answer to 4 decimal places.) Probability c. What is the probability that at least eight but no more than eleven of the college graduates plan to pursue a graduate degree? (Round your final answer to 4 decimal places.) Probability

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Answer #1

Let X is a random variable shows the number of students plan on pursuing a graduate degree out of 18. Here X has binomial distribution with parameters n=18 and p=0.42.

(a)

The probability that no more than five of the college graduates plan to pursue a graduate degree is

Excel function used : "=BINOMDIST(5,18,0.42,TRUE)"

(b)

The probability that exactly eight of the college graduates plan to pursue a graduate degree is

Excel function used : "=BINOMDIST(8,18,0.42,False)"

(c)

The probability that at least eight but no more than eleven of the college graduates plan to pursue a graduate degree is

Excel function used : "=BINOMDIST(11,18,0.42,TRUE)-BINOMDIST(7,18,0.42,TRUE)"

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