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Shobhoob
16.04.2020 •
Mathematics
The number of cracks on the road surface of US Route 86 that require immediate repair is Poisson with λ = 3.5 for one mile. a) What is the expected number of cracks on the road surface of US Route 86 that require immediate repair for one mile? Round your answer to the nearest tenth. b) What is the standard deviation of the number of cracks on the road surface of US Route 86 that require immediate repair for one mile? Round your answer to the nearest hundredth. c) What values of the random variable are within two standard deviations of the mean? d) What is the probability that there are more than 3 cracks on one mile of road surface of US Route 86 that require immediate repair? Round your answer to the nearest ten-thousandth. e) What is the expected number of cracks on the road surface of US Route 86 that require immediate repair for 15 miles? Round your answer to the nearest tenth. f) What is the probability that there are less than 40 cracks on 15 miles of road surface of US Route 86 that require immediate repair? Round your answer to the nearest ten-thousandth.
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Ответ:
4 dozen = 150
48 = 150
1= 150/48
= 75/24
= 25/8
(5 dozen= {5*12} 60)
60= 25/8*60
=375/2
= 187.5
.
. . answer= 187.5 minutes