A biologist found the wingspans of a group of monary butterflies to be normally distributed with a mean of 52.2 mm and a standard deviation of 2.3 mm. What percent of the butterflies had a wingspan a. less than 48.5 mm? b. between 50 and 55 mm?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 26PFA
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a. z =-1.47 and z = 1.64
1.82
b. z=-0.44 and z =
c. The region where z> 1.92
d. The region where z < 2.22
A biologist found the wingspans of a group of monary butterflies to be normally
distributed with a mean of 52.2 mm and a standard deviation of 2.3 mm. What
percent of the butterflies had a wingspan
a. less than 48.5 mm?
b. between 50 and 55 mm?
3. A highway study of 8000 vehicles that passed by a checkpoint found that their
speeds were normally distributed, with a mean of 61 mph and a standard deviation
of 7 mph.
a. How many of the vehicles had a speed of more than 68 mph?
b. How many of the vehicles had a speed of less than 40
Transcribed Image Text:a. z =-1.47 and z = 1.64 1.82 b. z=-0.44 and z = c. The region where z> 1.92 d. The region where z < 2.22 A biologist found the wingspans of a group of monary butterflies to be normally distributed with a mean of 52.2 mm and a standard deviation of 2.3 mm. What percent of the butterflies had a wingspan a. less than 48.5 mm? b. between 50 and 55 mm? 3. A highway study of 8000 vehicles that passed by a checkpoint found that their speeds were normally distributed, with a mean of 61 mph and a standard deviation of 7 mph. a. How many of the vehicles had a speed of more than 68 mph? b. How many of the vehicles had a speed of less than 40
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