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Q-6. A student will be having a job interview soon and she knows that the select

ID: 2935247 • Letter: Q

Question

Q-6. A student will be having a job interview soon and she knows that the selection committee has 4 members. She is concerned about the possibility of receiving a "strong" or a "weak" recommendation letter. She figures that if she receives a strong recommendation, then each of she has a weak recommendation letter this probability will be 0.3. Assume that she will receive the new job offer if a majority of the committee members pass her. She further feels that she is three times as likely to receive a strong recommendation letter as she is to receive a weak recommendation letter. Calculate the probability that she will receive the new job offer. (Determine the distribution - state the parameter values for that distribution)

Explanation / Answer

Solution:

From the given information
A binomial distribution with parameters(n,p)
Binomial denisty function P(X = x) = nCx px (1-p)n-x
Let X denotes that she receives a strong recommendation letter and get a new job offer.

P(X = 3) = 3c3 (0.8)3 (1-0.8)3-3
= 0.512