Answer:
(a) The probability that a person has to wait less than 6 minutes for the bus is 0.24.
(b) The probability that a person has to wait between 10 and 20 minutes for the bus is 0.40.
Step-by-step explanation:
Let The random variable <em>X</em> be defined as the waiting time for a bus at a certain bus stop.
The random variable <em>X</em> follows a continuous Uniform distribution with parameters <em>a</em> = 0 and <em>b</em> = 25.
The probability density function of <em>X</em> is:
(a)
Compute the probability that a person has to wait less than 6 minutes for the bus as follows:
Thus, the probability that a person has to wait less than 6 minutes for the bus is 0.24.
(b)
Compute the probability that a person has to wait between 10 and 20 minutes for the bus as follows:
Thus, the probability that a person has to wait between 10 and 20 minutes for the bus is 0.40.