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 90 inches and a standard deviation of 15 inches. Directions: Make a sketch of the "empirical rule" for this setting. a) What proportion of frog jumps are less than 60 inches? 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 105 inches?
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 90 inches and a standard deviation of 15 inches. Directions: Make a sketch of the "empirical rule" for this setting. a) What proportion of frog jumps are less than 60 inches? 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 105 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 19PFA
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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 90 inches and a standard
deviation of 15 inches.
Directions: Make a sketch of the "empirical rule" for this setting.
a) What proportion of frog jumps are less than 60 inches?
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 105 inches?
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Transcribed Image Text: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 90 inches and a standard
deviation of 15 inches.
Directions: Make a sketch of the "empirical rule" for this setting.
a) What proportion of frog jumps are less than 60 inches?
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 105 inches?
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