KQuestion 5 (of 6) value 16.60 points Recent crime reports indicate that 5 2 mot
ID: 3040176 • Letter: K
Question
KQuestion 5 (of 6) value 16.60 points Recent crime reports indicate that 5 2 motor vehicle thefts occur each minute in the United States. Assume that the distribut on of thelts per minute can be approximated by the Poisson prota@bility dstibution a. Calculate the probability exactly four thefts occur in a minute (Round your answer to 3 decimal places.) Probability What is the probability there are four or more thefts in a minute? (Round your answer to 3 decimal places.) b. Probability c. What is the probabity there is one or less thefts in a minute? (Round your answer to 3 decimal places.) Probability eBook & Resources eBook abilities. Ask your instructor a question Type here to searchExplanation / Answer
=5.2
a)
x=4
P(x=4) =(e^(-)) (^x) / x!
=(e^(-5.2)) (5.2^4) /4!
=0.0055*731.1616/24
=0.168
b)
P(x>=4) = 1-P(x<=4) +P(x=4)
=1-0.4061 +0.168
=0.762
Please note that we calculated P(x<=4 ) using excel command
=POISSON.DIST(4,5.2,TRUE)
c) P(x<=1 ) = =POISSON.DIST(1,5.2,TRUE)
= 0.034
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.