# 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 at least 20 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 at least 20 minutes late.

## Answer to relevant Questions

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 ...Draw a normal curve with µ = 30 and σ = 10. Label the mean and the inﬂection points. Elena conducts an experiment in which she ﬁlls up the gas tank on her Toyota Camry 40 times and records the miles per gallon for each ﬁll- up. A histogram of the miles per gallon indicates that a normal distribution with ...Determine the area under the standard normal curve that lies between (a) z = -2.55 and z = 2.55 (b) z = -1.67 and z = 0 (c) z = -3.03 and z = 1.98 Find the indicated areas. Be sure to draw a standard normal curve and shade ...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