Question

An interviewer is given a list of potential people she can interview. If she needs to interview 5 people and if each person (independently) agrees to be interviewed with probability 2/3, what is the probability that she will speak to 8 people? Note: speaking to a person does not mean conducting the interview with them. The person may simply decline the interview from the beginning. .14 .17 1/3 .2

Name: an interviewer is given a list of potential people she can interview if she needs to interview 5 people and if each person independently agrees to be interviewed with probability 23 what is 89746
Uploaded: 2023-09-09T14:38:30-08:00
Duration: 3 min 27 s
Channel: Audrey Fong
Description: an interviewer is given a list of potential people she can interview if she needs to interview 5 people and if each person independently agrees to be interviewed with probability 23 what is 89746

          An interviewer is given a list of potential people she can
interview. If she needs to interview 5 people and if each
person (independently) agrees to be interviewed with
probability 2/3, what is the probability that she will speak
to 8 people?  Note: speaking to a
person does not mean conducting the interview with them. The
person may simply decline the interview from the beginning.
.14
.17
1/3
.2

Added by Christopher W.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Audrey Fong

09/09/2023

Step 1

This can be modeled as a binomial distribution with parameters $n=7$ and $p=\frac{2}{3}$. The probability of exactly 5 successes (interviews) is given by the binomial probability formula: $P(X=5) = \binom{7}{5} \left(\frac{2}{3}\right)^5 Show more…

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An interviewer is given a list of potential people she can interview. If she needs to interview 5 people and if each person (independently) agrees to be interviewed with probability 2/3, what is the probability that she will speak to 8 people? Note: speaking to a person does not mean conducting the interview with them. The person may simply decline the interview from the beginning. .14 .17 1/3 .2