In southern California, a growing number of persons pursuing a teaching credential are choosing paid internships over traditional student teaching programs. A group of fifteen candidates for three teaching positions consisted of seven paid interns eight traditional student teachers. Assume that all fifteen candidates 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.) O binomial hypergeometric (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.) 0.1231 (d) Find P(x s 1). X

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Exponential And Logarithmic Functions
Section5.5: Exponential And Logarithmic Models
Problem 4ECP
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In southern California, a growing number of persons pursuing a teaching credential are choosing paid internships over traditional student teaching programs. A group of fifteen candidates for three teaching positions consisted of seven paid interns and
eight traditional student teachers. Assume that all fifteen candidates 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.)
binomial
hypergeometric
(b) Find the probability that three paid interns are hired for these positions. (Round your answer to four decimal places.)
X
(c) What is the probability that none of the three hired was a paid intern? (Round your answer to four decimal places.)
0.1231
(d) Find P(x ≤ 1).
X
Transcribed Image Text:In southern California, a growing number of persons pursuing a teaching credential are choosing paid internships over traditional student teaching programs. A group of fifteen candidates for three teaching positions consisted of seven paid interns and eight traditional student teachers. Assume that all fifteen candidates 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.) binomial hypergeometric (b) Find the probability that three paid interns are hired for these positions. (Round your answer to four decimal places.) X (c) What is the probability that none of the three hired was a paid intern? (Round your answer to four decimal places.) 0.1231 (d) Find P(x ≤ 1). X
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