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Social ScienceA 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)
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)
Expert Answer
The snack vending machine dispenses the incorrect item on average 4.2 times per day.
Thus,
Image Transcriptionclose
= 4.2 x Poisson(4.2) -42 (4.2) P(X x) x!
a)
The probability that the machine will dispense exactly 9...
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e(4.2) P(X 9) 9! 0.0168
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