Adolphin show is scheduled to start at 9: 00 a. m., 9: 30 a. m., and 10: 00 a. m. once the show starts, the gate will be closed. a visitor will arrive at the gate at a time uniformly distributed between 8: 30 a. m. and 10: 00 a. m. determine a) the cumulative distribution function of the time (in minutes) between 8: 30 a. m. and arrival.

The cumulative distribution function of the time (in minutes) between 8:30 A.M. and arrival is such that 0 < x < 90.

Step-by-step explanation:

Consider the provided information.

A dolphin show is scheduled to start at 9:00 AM, 9:30 A.M and 10:00 A.M.

Once the show starts, the gate will be closed. The arrival time of the visitor at the gate is uniformly distributed between 8:30 A.M and 10:00 A.M.

The time in minutes is between arrival and 8:30A.M.

Uniform distribution is defined as, where a<x<b

Here a=0 and b=90

Thus, the probability density function is:

The cumulative distribution function of the time between arrival and 8.30 A.M is,

Hence, the cumulative distribution function of the time (in minutes) between 8:30 A.M. and arrival is such that 0 < x < 90.

answer: 298143

step-by-step explanation: