(a)
To find out what distribution does X follow and give the mean and standard deviation of X .
(a)
Answer to Problem 12.47E
X follow Poisson distribution and the mean and standard deviation are
Explanation of Solution
In the question, it is given that the CDC reports that the average number of salmonellosis per month in Wisconsin is
(b)
To find the probabilities
(b)
Answer to Problem 12.47E
The probability is:
1.71 | |
0.00186 | |
0.50889 | |
0.99031 |
And the probability that there would be more than
Explanation of Solution
In the question, it is given that the CDC reports that the average number of salmonellosis per month in Wisconsin is
In the cumulative, the FALSE gives the exact value and TRUE gives the less than value.
Thus, the probabilities
=POISSON.DIST(0,15.58,FALSE) | |
=POISSON.DIST(5,15.58,TRUE) | |
=POISSON.DIST(15,15.58,TRUE) | |
=POISSON.DIST(25,15.58,TRUE) |
The result will be as:
1.71 | |
0.00186 | |
0.50889 | |
0.99031 |
And the probability that there would be more than
(c)
To find the probability that
(c)
Answer to Problem 12.47E
Explanation of Solution
In the question, it is given that the CDC reports that the average number of salmonellosis per month in Wisconsin is
In the cumulative, the FALSE gives the exact value and TRUE gives the less than value.
Thus, the probability that
=1-POISSON.DIST(47,15.58,TRUE) |
The result is as:
Thus, from this we can say that this is too unlikely to be due to random isolated cases and it points to an epidemic. The contaminated food must have been distributed at least in South Dakota and Wisconsin.
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Chapter 12 Solutions
Practice of Statistics in the Life Sciences
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