Q) For the case of the thin copper wire, suppose that the number of flaws follows a Poisson distribution with a mean of 3.1 flaws per millimeter. 1) Determine the probability of exactly 3 flaws in 1 millimeter of wire. 2) Determine the probability of 5 Naws in 6 millimeters of wire. 3) Determine the probability of at least 1 flaw in 2 millimeters of wire ?

Q: On average, there are 3.2 defects in a sheet of rolled steel. Assume that the number of defects…

A: Given , A Random variable x ~ poisson ( λ = 3.2 ) P ( X = x ) =  e-λ λx ; X ≥ 0

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Q: what is the probability of observing exactly three accidents on this stretch of road during a month…

A: Given problem is Poisson distribution Let X: Accidents on stretch  road  Mean=m=7.4

Q: If Y Poisson(2) and Z Poisson(3) are independent, what is distribution of W = Y + Z?

A: Solution: Given  Y~Poisson(2)    and  Z~Poisson(3)   Y and Z are independent random variable

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Q: The number of people that buy packages of Hostess Ding-Dongs at Walmart in one hour is Poisson…

A: Given: X~P(λ)λ=5

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Q: The number of bacteria colonies of a certain type in samples of polluted water has a Poisson…

A: Solution.

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A: Formula : poisson distribution is given by

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A: P(X<100)=Pz<100-13045=Pz<-0.67=0.2514 Therefore the probability that a randomly selected…

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A: Givenλ=7 customers will arrive per hour

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Q: Suppose Y,,Y,,Y40 are iid from a geometric (p) distribution. . If p = 0.20, use the CLT to…

A: Y1,Y2 ,...., Y540 ~iid Geometric(p=0.2) So,  EYi = 1p=5VarYi = 1-pp2=0.80.22=20 Define, T = ∑i=1540…

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A: If x follows poisson distribution with parameter λ then its pmf is given by, P(X=x)=e-λ λx…

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A: Solution: Note: Hello! As you have posted 2 different questions, we are answering the first question…

Q: 2. For the case of a thin copper wire, suppose that the number of flaws follows a Poisson…

A: Given: Let the number of flaws be X X follows Poisson distribution Mean, λ = 2.5 per millimeter…

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A: We want to find following probability  X~Poisson(μ=5.5)

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A: Discrete Probability distribution

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Q: Assume that the Poisson distribution applies and that the mean number of hurricanes in a certain…

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Q: Suppose that the following table records the average daily number of traffic accidents reported in…

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A: wr have to find probability by normal approximation of poisson distribution.

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A: Hey, since there are multiple subparts posted, we will answer first three subparts. If you want any…

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