# Question

A weather forecaster predicts that the May rainfall in a local area will be between three and six inches but has no idea where within the interval the amount will be. Let x be the amount of May rainfall in the local area, and assume that x is uniformly distributed over the interval three to six inches.

a. Write the formula for the probability curve of x and graph this probability curve.

b. What is the probability that May rainfall will be at least four inches? At least five inches?

a. Write the formula for the probability curve of x and graph this probability curve.

b. What is the probability that May rainfall will be at least four inches? At least five inches?

## Answer to relevant Questions

Refer to Exercise 6.14 and find the probability that the observed May rainfall will fall within two standard deviations of the mean May rainfall. Suppose that the random variable z has a standard normal distribution. Sketch each of the following z points, and use the normal table to find each z point. a. z .01 b. z .05 c. z .02 d. – z .01 e. – z .05 f. – z ...An investment broker reports that the yearly returns on common stocks are approximately normally distributed with a mean return of 12.4 percent and a standard deviation of 20.6 percent. On the other hand, the firm reports ...Explain how we make a continuity correction. Why is a continuity correction needed when we approximate a binomial distribution by a normal distribution? Suppose that the random variable x has an exponential distribution with 2. a. Write the formula for the exponential probability curve of x. What are the possible values of x? b. Sketch the probability curve. c. Find P (x ...Post your question

0