Question

In southern California, a growing number of persons pursuing a teaching credential are choosing paid internships over traditional student teaching programs. A group of ten candidates for three teaching positions consisted of seven paid interns and three traditional student teachers. Assume that all tencandidates are equally qualified for the three positions, and that x represents the number of paid interns who are hired.

(a)

Does x have a binomial distribution or a hypergeometric distribution? Support your answer. (Round your answer to four decimal places.)

  

(b)

Find the probability that three paid interns are hired for these positions. (Round your answer to four decimal places.)

(c)

What is the probability that none of the three hired was a paid intern? (Round your answer to four decimal places.)

(d)

Find

P(x ≤ 1).

Answer 1