Question

In a beauty salon, the waiting time to receive a haircut service is a random variable with a continuous uniform distribution. A calling for a new haircut service is every 10 minutes. (a) What is the probability that a customer waits for a new call more than 7 minutes? (b) What is the probability that a customer waits for a new call between 2 and 7 minutes?

Answer 1

(a) $P(X>7)=\frac{10-7}{10}=0.3.$

(b) $P(2<X<7)=\frac{7-2}{10}=0.5.$