Recent crime reports indicate that 4.9 motor vehicle thefts occur each minute in
ID: 3361043 • Letter: R
Question
Recent crime reports indicate that 4.9 motor vehicle thefts occur each minute in the United States. Assume that the distribution of thefts per minute can be approximated by the Poisson probability distribution.
Calculate the probability exactly two thefts occur in a minute. (Round your answer to 3 decimal places.)
What is the probability there are two or more thefts in a minute? (Round your answer to 3 decimal places.)
What is the probability there is three or less thefts in a minute? (Round your answer to 3 decimal places.)
Recent crime reports indicate that 4.9 motor vehicle thefts occur each minute in the United States. Assume that the distribution of thefts per minute can be approximated by the Poisson probability distribution.
Explanation / Answer
a) P( X = 2)
use excel function
POISSON.DIST(2,4.9,FALSE)
= 0.089
b) P(X>=2)
use excel function
1-POISSON.DIST(1,4.9,TRUE)
= 0.956
c) P(X<=3)
use excel function
POISSON.DIST(3,4.9,TRUE)
= 0.279
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