A post office has three clerks, each of whom is serving a customer. The service times are i.i.d. Exp(µ). A new customer will arrive after Exp(λ) units of time, independently of the others. Find the probability that all the three existing customers finish their services before the arrival.

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A: Here given , score follows standard normal distribution with mean 0 and standard deviation 1.X =…

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A: X~{0,1,2,3}

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A: X~Pois(λ)

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A: The provided information is as follows:There are three red marbles.There are three green…

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A: P(X=k)=​Where:X is the random variable representing the number of events.λ is the mean rate of the…

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A: Sample size n=43Favorable cases x=5Sample proportion p^=x/n=5/43=0.1163

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A: 4 red marbles,3 green ones,2 white ones,1 purple one.

Q: 2). ically fills 16-ounce bottles. There is some variation in the amounts of liquid dispensed into…

A: It is given that Mean = 16Std. deviation = 1

Q: Suzan sees a bag of marbles; she grabs a handful at random. She has seen a bag containing 4 red…

A: 4 red marbles3 green marbles2 white marble1 purple marble

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A: The discrete probability mass function is:x31-1P(X=x)0.250.300.45

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A: P(A or B) = 0.6, P(A) = 0.2, P(A and B) = 0.15

Q: K One of the major products at a large company is french fries that are sold on the commercial…

A: P=0.09n=400X=48

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A: f(x,y)= 1 ; 0&lt; x&lt;1, 0&lt; y&lt;2x

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A:

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A: sample size(n)=75Mean()=223standard deviation()=5.9

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A: The provided information is as follows:The probability mass function is given as  310.250.30.45

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A:

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Q: 6. Suppose that P(E)=0.61, P(F) = 0.43, and P(EF) = 0.27. Find the following:

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A:

Q: Use the Standard Normal Table or technology to find the z-score that corresponds to the cumulative…

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Q: In 100 trials of this​ experiment, we expect about _______ to result in no more than 4 adults who…

A: n=15 p = 0.45

Q: A uniform random variable X has a probability density given by: 1/0≤x≤2 otherwise f(x) = The mean of…

A: Mean=1, variance=13

Q: 3) The grade point averages of a large population of college students is approximately normally…

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A: If there is no relationship between the random variables X and Y. X~N(0,1), and P(Y=0)P(Y=1)=1/2 is…

Q: (a) Find the probability that a randomly selected high school student who took the reading portion…

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