Question

a. A shipment of 7 television sets contains 2 defective sets. A hotel makes a random

purchase of 3 of the sets. If x is the number of defective sets purchased by the hotel,

find the probability distribution of X. Express the results graphically as probability

histogram.

b. Find the cumulative distribution function of the random variable X representing the

number of defective in problem a. Then using F(x). Find

P(X=1) and P (0X2)

c. Construct the cumulative distribution function of problem b

Answer 1

P(x)=P(7)-P(3)

$P(7)=\frac{7}{3}$

$P(3)=\frac{3}{7}$

$P(x)=\frac{7}{3}-\frac{3}{7}$

=$\frac{40}{21}=1.9048$