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.
b. Graph the probability curve of x.
c. What is the probability that May rainfall will be at least four inches? at least five inches? At most 4.5 inches?
The expert examines thw weather forecast predicted for May rainfall to be three to six inches. A probability of graph are determined.