Question

There are 4 truck in the fleet of 10 cars. 2 cars were randomly selected. Make a series of distribution of a discrete random variable X - the number of trucks among the selected.

Answer 1

X = 0 , P(0) = 1/3

X = 1 , P(1) = 8/15

X = 2 , P(2) = 2/15

Explanation:

Let X be the no. of trucks

X = 0 , P(0) = 6/10 × 5/9 = 1/3

X = 1 , P(1) = 2(6/10 × 4/9) = 8/15

X = 2 , P(2) = 4/10 × 3/9 = 2/15