Suppose 55% of recent college graduates plan on pursuing a graduate degree. Four

Question

Suppose 55% of recent college graduates plan on pursuing a graduate degree. Fourteen recent college graduates are randomly selected.

What is the probability that no more than seven of the college graduates plan to pursue a graduate degree? (Round your final answer to 4 decimal places.)

What is the probability that exactly nine of the college graduates plan to pursue a graduate degree? (Round your final answer to 4 decimal places.)

What is the probability that at least nine but no more than twelve of the college graduates plan to pursue a graduate degree? (Round your final answer to 4 decimal places.)

Suppose 55% of recent college graduates plan on pursuing a graduate degree. Fourteen recent college graduates are randomly selected.

Explanation / Answer

solution:-

given that n = 14 , p = 0.55
a. p(x ? 7) = 0.4539
b.p(x = 9) = 0.1701
c. p (9 ? x ? 12) = p(x = 9)+ p(x = 10) + p(x = 11) + p(x = 12)
= 0.0701+0.1040+0.0462+0.0141
= 0.2344

by formula p(X = x) = ncr * pr * qn - r

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