A researcher studying frogs is investigating the distance that a certain species of frog can jump. The jump lengths appear to be approximately normally distributed with a mean of 85 inches and a standard deviation of 12 inches. Directions: Make a sketch of the "empirical rule" for this setting. a) What proportion of frog jumps are less than 61 inches? (Enter a proprtion as a decimal, not a %)  b) What jump lengths represent the middle 95% of frog jumps? Between ___ and ____ c) What is the probability of observing a random frog jump that is longer than  97 inches?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 7PPS
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A researcher studying frogs is investigating the distance that a certain species of frog can jump. The jump lengths appear to be approximately normally distributed with a mean of 85 inches and a standard deviation of 12 inches.

Directions: Make a sketch of the "empirical rule" for this setting.

a) What proportion of frog jumps are less than 61 inches?
(Enter a proprtion as a decimal, not a %) 

b) What jump lengths represent the middle 95% of frog jumps?
Between ___ and ____

c) What is the probability of observing a random frog jump that is longer than  97 inches?
(Enter a proprtion as a decimal, not a %)

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