any help is appreciated!! The time (in minutes) until the next bus departs a major bus depot follows a distribution with \( f(x) = \frac{1}{20} \) where \( x \) goes from 25 to 45 minutes.**Part (a)****Part (b)**Give the distribution of \( X \). (Enter exact numbers as integers, fractions, or decimals.)\( X \sim \) (________, ________)**Part (c)**Graph the probability distribution.There are four graphs displayed, each representing different probability distributions. The correct graph should represent a uniform distribution with a constant probability \( f(x) = \frac{1}{20} \) over the interval from 25 to 45 minutes.1. **First Graph:** - Horizontal line at \( f(x) = 0.05 \) from \( x = 0 \) to \( x = 50 \).2. **Second Graph:** - Horizontal line from \( x = 25 \) to \( x = 45 \), with a height of \( f(x) = 0.05 \).3. **Third Graph:** - Horizontal line at \( f(x) = 0.20 \) from \( x = 0 \) to \( x = 50 \).4. **Fourth Graph:** - Horizontal line from \( x = 5 \) to \( x = 15 \), with a height of \( f(x) = 0.05 \).The correct graph should be the second one, representing the uniform distribution over the interval from 25 to 45.

Name: any help is appreciated!! The time (in minutes) until the next bus dep
Uploaded: 2024-03-20T07:07:37.000Z
Channel: Bartleby
Description: any help is appreciated!! The time (in minutes) until the next bus departs a major bus depot follows a distribution with \( f(x) = \frac{1}{20} \) where \( x \) goes from 25 to 45 minutes.**Part (a)****Part (b)**Give the distribution of \( X \). (Ent