The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between and minutes. Find the probability that a randomly selected passenger has a waiting time minutes. Find the probability that a randomly selected passenger has a waiting time minutes.

Incomplete question, but the concepts of the uniform distribution needed to solve this question are given here.

Step-by-step explanation:

Uniform probability distribution:

An uniform distribution has two bounds, a and b.

The probability of finding a value of at lower than x is:

The probability of finding a value between c and d is:

The probability of finding a value above x is:

The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between a and b minutes.

From here, we get the values of a(smallest value) and b(highest value).

Question of the probabilities:

In the two probability questions, you will get the value of x, and will apply one of the three formulas given above, depending on the question, to find the desired probability.

the first one is x^2+2x+2

the second one is x^2+4

the last one is x^2-4x+8

the first option is the answer.