Consider the previous question above, A further study determined that cars arrive to this shopping center according to a non-stationary Poisson process. The mean arrival rate increases linearly from 0.17 to 0.49 cars per minute between 10 am and 2 pm. Then the rate remains constant at 0.49 cars per minute between 2 pm and 4 pm. Finally, the rate changes to a constant 0.33 cars per minute between 4 pm and 5 pm. What is the probability that 60 cars will arrive between 1:45 pm and 4:15 pm?

Q: The number of traffic accidents that occur on a particular stretch of road during a month follows a…

A: Solution: Let X be the number of accidents will occur on this stretch of road during a month. From…

Q: You should assume that serious earthquakes throughout the world occur at a rate of one per 500 days.…

A: Solution: Given that , Since X has Poisson distribution wth parameter λand λ=1 earthquake per 500…

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A: From the provided information, Machine’s lifetime is exponentially distributed with mean (1/λ) = 2…

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Q: The number of monthly breakdowns of a computer is a random variable with u = 1.6. Use the formula…

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Q: Suppose the life spans of a particular brand of car battery are normally distributed with a mean of…

A: Given that  Mean=44.7 P(X>53.7)=0.26

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A: It is given that the distribution is exponential with mean μ=5. The probability distribution of…

Q: Suppose the life spans of a particular brand of car battery are normally distributed with a mean of…

A: We have given that  Mean=45.3

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A: Given Population mean = 36miles Population standard deviation =5

Q: It has been observed that the number of traffic accidents on the L.I. expressway requiring medical…

A: Given that mean = 4 So  X~P(4) We know that p.d.f. of Poisson distribution is given by, p(x)=…

Q: The level of nitrogen oxides (NOX) and nonmethane organic gas (NMOG) in the exhaust over the useful…

A: Mean == 80Standard deviation  = 6n = 16s = 6/√16 = 1.5Levels of significance = 1 - 0.05 = 0.95 or…

Q: The mean number of automobiles entering a mountain tunnel per two-minute period is one. An excessive…

A: A poisson distribution is used to estimate the probability of number of event that can occur in an…

Q: Concentrations of pollutants produced by chemical plants historically are known to exhibit behavior…

A: P(X>7.5)=?

Q: The time required to pass through security screening at the airport can be annoying to travelers.…

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

Q: he level of nitrogen oxides (NOX) and nonmethane organic gas (NMOG) in the exhaust over the useful…

A: Given Data: Mean (μ)=85 Standard deviation (σ)=6 Variance (σ2)=36 Sample size(n)=16   Let X be the…

Q: Complaints about an Internet brokerage firm occur at a rate of 1.4 per day. The number of complaints…

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Q: Suppose the average age of a Tulane undergraduate is 20 years with a standard deviation of 1.2…

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Q: Use this information about the overhead reach distances of adult females: µ = 205.5 cm, σ = 8.6 cm,…

A: Consider X be the random variable that represents the overhead reach distances of adult females…

Q: It should be stated that the battery of a pos device has an exponential distribution with an average…

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Q: The life of a vacuum cleaner is normally disyributed with mean 5 years and standard deviation 2…

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Q: It has been observed that the number of traffic accidents on the L.I. expressway requiring medical…

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Q: The average speeds of cars on a highway are distributed according to a normal distribution. Today,…

A: We are given here that the The average speeds of cars on a highway are distributed according to a…

Q: You were told that the amount of time lapsed between consecutive trades on the New York Stock…

A: Let 'X' be the random variable representing the amount of time lapsed between consecutive trades.…

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A: The objective of this question is to find the probability that the average breakdown mileage of a…

Q: The level of nitrogen oxides (NOX) and nonmethane organic gas (NMOG) in the exhaust over the useful…

A: The mean is 80 and the standard deviation is 6.

Q: The level of nitrogen oxides (NOX) and nonmethane organic gas (NMOG) in the exhaust over the useful…

A: Introduction: The sampling distribution of the sample mean, X̄, based on a sample of size n, taken…

Q: The number of students who fail per semester is often modeled as a Poisson random variable. Assume…

A: Given: X is following the Poisson distribution with mean = 5