Milo works on an assembly line manufacturing widgets. Let X be the number of defective widgets that he produces in a given month. Assume X follows a Poisson distribution with a mean of 3.5. Milo receives a monthly bonus of 25(4-X) if X is less than 4. If X is greater than 4, then Milo receives no bonus for that month. Calculate the standard deviation of Milo's monthly bonus. O 25.49 O 26.65 O27.81 O 28.96

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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Milo works on an assembly line manufacturing widgets. Let X be the number of defective widgets
that he produces in a given month. Assume X follows a Poisson distribution with a mean of 3.5. Milo
receives a monthly bonus of 25(4-X) if X is less than 4. If X is greater than 4, then Milo receives no
bonus for that month. Calculate the standard deviation of Milo's monthly bonus.
25.49
O 26.65
O 27.81
28.96
O24.33
Transcribed Image Text:Milo works on an assembly line manufacturing widgets. Let X be the number of defective widgets that he produces in a given month. Assume X follows a Poisson distribution with a mean of 3.5. Milo receives a monthly bonus of 25(4-X) if X is less than 4. If X is greater than 4, then Milo receives no bonus for that month. Calculate the standard deviation of Milo's monthly bonus. 25.49 O 26.65 O 27.81 28.96 O24.33
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