Ashipment 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 a probability histogram.

The probability distribution is

X    :        0              1                 2

f(X) :       2/7          4/7               1/7

Step-by-step explanation:

Let x is the number of defective sets purchased by the hotel.

Total number of television sets = 7

Total number of defective television sets = 2

Since there are 2 defective television sets and hotel purchase 3 sets, So, X=0,1,2.

If X=0,

If X=1,

If X=2,

The probability distribution is

X    :        0              1                 2

f(X) :       2/7          4/7               1/7

The probability histogram is shown below.

not sure but it may be b, as i said i'm not sure.