A petrol pump station has 4 pumps. The service times follow the exponential distribution with a mean of 6 min and cars arrive for service in a Poisson process at the rate of 30 cars per hour. (a) What is the probability that an arrival would have to wait in line? (b) Find the average waiting time, average time spent in the system and the average number of cars in the system.

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A: Given data is Number of Days Frequency 0 28 1 437 2 263 3 75 4 16 5 11 Total 830 ...

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A: Solution:

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A: From the given data : x= 151.4 ∑R = 63k = 20n = 2 x¯ = ∑xk   = 151.420 = 7.57R = ∑Rk   = 6320 = 3.15

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A: Suppose that x has a beta distribution with parameters α = 2.5 and β = 1.

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A:

Q: (b) In a class of 15 students, the coursework marks for all the students are as follows: 15 47 34 46...

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Q: Consider the hypothesis test below, with n= 65 and p = 0.46. Ho: p= 0.38 HA:p#0.38 a = 0.05 a. State...

A: given;the hypothesis test below, with n=65 and p¯=0.46H0: p=0.38HA:p≠0.38α=0.05

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A: Given, 

Q: Q8.3 Mean and Median 1 Point Suppose we measure GPA for people in our class, we find the mean is 2.8...

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Q: The prediction interval for Xn+1 will always be longer than the confidence interval for u

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A: here available digit 2,3,4,5 and 6 total 5 digits available 

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Q: Pain: A recent survey asked 830 people how many days they would walt to seek medical treatment if th...

A: Number of Days Frequency 0 28 1 437 2 263 3 75 4 16 5 11 Total   830