Wildlife Biologist Studies - Mean Weight

A wildlife biologist captures a certain species of geese in orer to weigh them. Using science, he determines that the weights are normally distributed with a mean of nine pounds and a standard deviation of 1.3 pounds. What is the probability that a goose captured at random will weigh between 8 pounds and 11 pounds?

© SolutionLibrary Inc. solutionlibary.com 9836dcf9d7 https://solutionlibrary.com/statistics/probability/wildlife-biologist-studies-mean-weight-1ek

Solution Preview

... x2 = 11

We have that:

Z1 = (8-9)/1.3 = -0.77

Z2 = (11-9)/1.3 = 1.54

Then Pr(8<X<11) ...