Assignment – 5 1. Among 10 applicants for an open position 6 are female and 4 are males. Suppose 3 applicants are randomly selected from the applicant pool for final interviews. (a.) Find the probability distribution for X, which is the number of female applicants among the final three. (b.) Find the cumulative distribution of the number of female applicants among the final three.

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Assignment – 5
1. Among 10 applicants for an open position 6 are female and 4 are males.
Suppose 3 applicants are randomly selected from the applicant pool for
final interviews.
Find the probability distribution for X, which is the number of
female applicants among the final three.
(b.) Find the cumulative distribution of the number of female applicants
among the final three.
(а.)
2. The weekly demand X for kerosene at a certain supply station has a density
function given by
for 0<x<1
f(x) = {1/2
for 1<x<2
elsewhere
(a) Find P
X
(b) Find F(x)= P(X <x)
Transcribed Image Text:Assignment – 5 1. Among 10 applicants for an open position 6 are female and 4 are males. Suppose 3 applicants are randomly selected from the applicant pool for final interviews. Find the probability distribution for X, which is the number of female applicants among the final three. (b.) Find the cumulative distribution of the number of female applicants among the final three. (а.) 2. The weekly demand X for kerosene at a certain supply station has a density function given by for 0<x<1 f(x) = {1/2 for 1<x<2 elsewhere (a) Find P X (b) Find F(x)= P(X <x)
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