A certain snack vending machine dispenses the incorrect item, on average, 4.2 times every day. Assume that the number of incorrect items dispensed on any given day, X, is a Poisson random variable.     What is the probability that the machine will dispense exactly 9 incorrect items tomorrow? ANSWER:  (Use only the appropriate formula and/or statistical table in your textbook to answer this question. Report your answer as to 4 decimal places, using conventional rounding rules)     What is the standard deviation of this probability distribution? ANSWER:  (Use only the appropriate formula and/or statistical table in your textbook to answer this question. Report your answer as to 4 decimal places, using conventional rounding rules)

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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A certain snack vending machine dispenses the incorrect item, on average, 4.2 times every day. Assume that the number of incorrect items dispensed on any given day, X, is a Poisson random variable.

 

 

What is the probability that the machine will dispense exactly 9 incorrect items tomorrow? ANSWER:  (Use only the appropriate formula and/or statistical table in your textbook to answer this question. Report your answer as to 4 decimal places, using conventional rounding rules)

 

 

What is the standard deviation of this probability distribution? ANSWER:  (Use only the appropriate formula and/or statistical table in your textbook to answer this question. Report your answer as to 4 decimal places, using conventional rounding rules)

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