Alicia and Bennie have decided to play a game. They each draw as many flowers on paper as they can within one minute, repeating this game many times. The number of flowers Alicia draws and the number of flowers Bennie draws are independent. The number of flowers Alicia draws within 1 minute, A, is approximately Normally distributed with a mean of 38 flowers and a standard deviation of 1.8 flowers. The number of flowers Bennie draws in 1 minute, B, is approximately Normally distributed with a mean of 41 and a standard deviation of 2.6 flowers. Let D represent the difference, A - B, in the number of Alicia's and Bennie's flowers drawn in 1 minute. What is the probability that Alicia draws fewer flowers than Bennie in any 1 minute? 0.077 0.171 0.829 0.923

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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Alicia and Bennie have decided to play a game. They each draw as many flowers on paper as they can
within one minute, repeating this game many times. The number of flowers Alicia draws and the number of
flowers Bennie draws are independent. The number of flowers Alicia draws within 1 minute, A, is
approximately Normally distributed with a mean of 38 flowers and a standard deviation of 1.8 flowers. The
number of flowers Bennie draws in 1 minute, B, is approximately Normally distributed with a mean of 41 and
a standard deviation of 2.6 flowers. Let D represent the difference, A - B, in the number of Alicia's and
Bennie's flowers drawn in 1 minute.
What is the probability that Alicia draws fewer flowers than Bennie in any 1 minute?
O 0.077
0.171
0.829
0.923
Transcribed Image Text:Alicia and Bennie have decided to play a game. They each draw as many flowers on paper as they can within one minute, repeating this game many times. The number of flowers Alicia draws and the number of flowers Bennie draws are independent. The number of flowers Alicia draws within 1 minute, A, is approximately Normally distributed with a mean of 38 flowers and a standard deviation of 1.8 flowers. The number of flowers Bennie draws in 1 minute, B, is approximately Normally distributed with a mean of 41 and a standard deviation of 2.6 flowers. Let D represent the difference, A - B, in the number of Alicia's and Bennie's flowers drawn in 1 minute. What is the probability that Alicia draws fewer flowers than Bennie in any 1 minute? O 0.077 0.171 0.829 0.923
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