A travel association rates motels throughtout canada as 1 st

A travel association rates motels throughtout canada as 1 star to 4 star motels. Record shows that 20% of motels have a 1 star rating, 30% have a 2 star rating, 31% have a 3 star rating and 19% have a 4 star rating. Let X represent the number of stars in randomly chosen motel rating. a) determine the probability distribution table for the random variable x b) suppose 2 motels are chosen at random. determine the probability that both of them have a 3 star rating

Solution

X P(X)

1 0.20

2 0.30

3 0.31

4 0.19

total 1

b)

P(X=2) = 0.31 * 0.31 = 0.0961