# Question: Imagine that a friend of yours is always late Let

Imagine that a friend of yours is always late. Let the random variable X represent the time from when you are supposed to meet your friend until he shows up. Suppose your friend could be on time (x = 0) or up to 30 minutes late (x = 30), with all intervals of equal time between x = 0 and x = 30 being equally likely. For example, your friend is just as likely to be from 3 to 4 minutes late as he is to be 25 to 26 minutes late. The random variable X can be any value in the interval from 0 to 30, that is, 0 ≤ x ≤ 30. Because any two intervals of equal length between 0 and 30, inclusive, are equally likely, the random variable X is said to follow a uniform probability distribution.

Find the probability that your friend is no more than 5 minutes late.

Find the probability that your friend is no more than 5 minutes late.

**View Solution:**## Answer to relevant Questions

The random-number generator on calculators randomly generates a number between 0 and 1. The random variable X, the number generated, follows a uniform probability distribution. (a) Draw the graph of the uniform density ...Draw a normal curve with µ = 50 and σ = 5. Label the mean and the inﬂection points. In the game of golf, distance control is just as important as how far a player hits the ball. Michael went to the driving range with his range ﬁnder and hit 75 golf balls with his pitching wedge and measured the distance ...Determine the total area under the standard normal curve (a) to the left of z = -2 or to the right of z = 2 (b) to the left of z = -1.56 or to the right of z = 2.56 (c) to the left of z = -0.24 or to the right of z = ...Assume that the random variable X is normally distributed, with mean µ = 50 and standard deviation σ = 7. Compute the following probabilities. Be sure to draw a normal curve with the area corresponding to the probability ...Post your question