A continuous random variable $Y$ is uniformly distributed over the interval $3\le Y\le 15$. What is $P(6\le Y\le 10)$?

The time it takes for a train to arrive at a station is uniformly distributed between $20$ and $40$ minutes. Find the probability that the train will arrive no more than $5$ minutes after the scheduled time.

Let $X$ be a continuous random variable uniformly distributed between $-5$ and $7$. What is $P(-2\le X\le 4)$?

Which two conditions must a function meet to be considered a valid probability density function (pdf)?

A customer at a café orders a coffee, and the time it takes for the coffee to be prepared is uniformly distributed between $5$ and $15$ minutes. What is the maximum time, in minutes, within which there is a $90\%$ probability the coffee will be ready?

In a delivery service, the time for a package to be delivered is uniformly distributed between $10$ and $30$ minutes. Find the probability that the delivery time is between $15$ and $25$ minutes.

A continuous random variable $𝑋$ is uniformly distributed between $10$ and $30$ minutes. Draw the graph of the uniform density function for $𝑋$.