Question

The random variable x in this example is the number of movies rented

Answer 1

a) 0.15

b) 0.1

c) 0.75

d) 1

Step-by-step explanation:

The probability that a client rents exactly 3 movies is equal to the value of P(x) related to x = 3, so it is equal to:

P(3) = 0.15

Then, the probability that a customer rents 4 or more movies is equal to the sum of the probability that the customer rents 4 movies and the probability that the customer rents 5 movies, so:

P(4) + P(5) = 0.08 + 0.02 = 0.1

In the same way, the probability that a customer rents 2 movies or less is equal to:

P(0) + P(1) + P(2) = 0.10 + 0.40 + 0.25

P(0) + P(1) + P(2) = 0.75

Finally, the probability is a maximum of 1, so the sum of all possible cases should be 1.

Therefore, the answers are:

a) 0.15

b) 0.1

c) 0.75

d) 1