Answer:
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