PART D The number of false fire alarms in a suburb of Detroit averages 8.4 per day. Assuming that a Poisson distribution is appropriate: What is the probability that exactly 8 false alarms will occur on a given day? What is the probability that less than 8 false alarms will occur on a given day? What is the probability that more than 8 false alarms will occur on a given day? (Hint: the probabilities of all possible cases must add to one).

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 11PPS
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PART C
Suppose you have a pair of six-sided dice where each die contains the following sides:
(1, 1, 2, 3, 6, 6). In theory, if you rolled this pair of dice 36 times, how many times would you
obtain a total of 2, 3, 4, 5, 6, 7, 8, 9 and 12? Using graph paper, plot the distribution of expected
values. Calculate the mean, variance, and standard deviation of this distribution.
PART D
The number of false fire alarms in a suburb of Detroit averages 8.4 per day. Assuming that a
Poisson distribution is appropriate:
What is the probability that exactly 8 false alarms will occur on a given day?
What is the probability that less than 8 false alarms will occur on a given day?
What is the probability that more than 8 false alarms will occur on a given day?
(Hint: the probabilities of all possible cases must add to one).
Transcribed Image Text:PART C Suppose you have a pair of six-sided dice where each die contains the following sides: (1, 1, 2, 3, 6, 6). In theory, if you rolled this pair of dice 36 times, how many times would you obtain a total of 2, 3, 4, 5, 6, 7, 8, 9 and 12? Using graph paper, plot the distribution of expected values. Calculate the mean, variance, and standard deviation of this distribution. PART D The number of false fire alarms in a suburb of Detroit averages 8.4 per day. Assuming that a Poisson distribution is appropriate: What is the probability that exactly 8 false alarms will occur on a given day? What is the probability that less than 8 false alarms will occur on a given day? What is the probability that more than 8 false alarms will occur on a given day? (Hint: the probabilities of all possible cases must add to one).
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