A recent survey of post-secondary education students in Canada revealed that % know what type of job they want, when they graduate. You are to randomly pick post-secondary education students across the country, and ask each the following question: Have you selected a particular career path? You have defined the random variable to represent the number, out of 32 post-secondary students chosen, who responded YES If you continued to select additional students, what is the probability that the 50th student selected will be the 39th student to respond YES?

Medenovgj

Medenovgj

Answered question

2022-09-21

A recent survey of post-secondary education students in Canada revealed that 73% know what type of job they want, when they graduate. You are to randomly pick 32 post-secondary education students across the country, and ask each the following question: Have you selected a particular career path?
You have defined the random variable X to represent the number, out of 32 post-secondary students chosen, who responded YES
If you continued to select additional students, what is the probability that the 50th student selected will be the 39th student to respond YES?

Answer & Explanation

efterynzl

efterynzl

Beginner2022-09-22Added 12 answers

We want yes's in the first 49 surveys followed by a yes on the 50 t h
Note that this is a negative binomial with n trials given k successes where n = 50 and k = 39.
We have
P ( X = n ) = ( n 1 k 1 ) p k ( 1 p ) n k = ( 49 38 ) 0.73 39 0.27 11 0.07569

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