The average length of a certain species of a grasshopper is normally distributed with a mean of 2.6 inches and a standard deviation of .15 inch. What is the

Question

probability that a randomly chosen grasshopper will have a length of at least 2.9 inches.

Answer 1

Mean = 2.6 inches

Standard Deviation = .15 inches

 

To compute the probability of finding a grasshopper with length of at least 2.9 inches

 

First we convert the x value to a standard normal value

 

z = (2.9 - 2.6 )/.15 = 2

 

using a standard normal table gives us a probability of being greater than a z of 2 is .0228 or 2.28%