Question

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.

Answer 1

Answer:

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:

$P(X < x) = \frac{x - a}{b - a}$

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

$P(c \leq X \leq d) = \frac{d - c}{b - a}$

The probability of finding a value above x is:

$P(X > x) = \frac{b - x}{b - a}$

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.