The number of cars that arrive at an inspection station within a time period of one hour follows a Poisson distribution with hourly rate/expectation 2 = 5. Further, the time a car waits at the inspection station once it arrives before moving on (finishes inspection) follows an exponential distribution with parameter 0 = 3 minutes. Assume the cars are independent of one another. What is the probability that exactly 5 cars show up to the inspection station in an hour and all 5 wait more

Q: The average number of deaths from lung cancer in a certain population per year has been observed to…

A: Obtain the probability that during the current year fifteen or more people will die from lung cancer…

Q: what is the probability that the 4th ghost appears more than 30 minutes after the 3rd ghost

A: Here given an old house in philadelphia is inhibited by a variety of ghosts. appearances occur in…

Q: what is the probability that exactly one is a shutout?

A: The number of runs scored by a certain baseball team per game follows a Poisson distribution with A…

Q: The number of raisins in a randomly chosen Jamaican spice bun can be modeled as a random variable…

A: The random variable number of raisins follows Poisson distribution with mean 5.2.

Q: probability that there will be exactly two accidents at the intersection during a week?

A: The number of accidents per day at a busy intersection has a Poisson distribution with mean 0.5…

Q: The # of flaws in copper wire (X), follows a Poisson Distribution with a rate of 1.5 flaws per mm.…

A:

Q: The time between successive calls to a corporate office is exponentially distributed with a mean of…

A:

Q: An engineer counts 400 veh/hr at a specific highway location. Assuming that the vehicles arrive…

A: Probability is defined as the sum of favorable ways of an event divided by the total number of…

Q: The birth rate in a hospital is given to match the Poisson distribution with an average of 1.2 per…

A:

Q: The birth rate in a hospital is given to match the Poisson distribution with an average of 1.2 per…

A: Let us consider,  the number of births in a hospital is denoted by X. Then it is given that…

Q: The time between successive calls to a corporate office is exponentially distributed with a mean of…

A: Let X be the event of calls. X~Pλ

Q: A medical clinic averages 31 walk-in patient arriving each hour. Assuming the number of patient…

A: Given: Every hour, on average, 31 walk-in patients arrive at the medical clinic. Let X be the number…

Q: he birth rate in a hospital is given to match the Poisson distribution with an average of 1.2 per…

A: Given Data: Let X represent the birth rate per hour   λ=1.2 X~ Poi (1.2)

Q: If a particular plant power failure occurs according to a Poisson distribution with an average of 3…

A: Given: Average number of failures in 20 days = 3 So, average number of failures in each day = 320…

Q: The number of typhoon occurring in the Philippines in a particular month is known to conform to the…

A: Given  Standard deviation of Poisson distribution=2 Variance of Poisson distribution=22=4 Mean and…

Q: What is the mean and standard deviation of the number of pedestrians waiting to cross? What is the…

A:

Q: (i) only one breakdown, (ii) at least one breakdown.

A:

Q: If electricity power failures occur in a particular industry according to Poisson distribution with…

A: The mean is 15 so m=15 The Poisson distribution is given by: PX=r=15re-15r!

Q: Suppose that the number of incoming phone calls to a telephone switchboard Poisson distribution with…

A: As per given by the question, find the probability that the telephone switchboard will received at…

Q: Suppose that the number of accidents occuring in an industrial plant is described by a Poisson…

A:

Q: probability that there will be two or fewer accidents during one week. (b)  Calculate the…

A: Poisson Distribution: The probability distribution of the Poisson random variable X representing the…

Q: The number of traffic accidents at a certain intersection averages .06 per month, based on records…

A: Given,λ=The average no.of accidents per month is 0.06Let X=no.of accidents per…

Q: Suppose the number of hours that people spend watching TV each day follows a Poisson distribution…

A: Let  X is the random variable representing the number of hours spent watching TV each…

Q: The number of traffic accidents at a certain intersection is thought to be well modeled by a Poisson…

A: Solution-: Let, X - be the number of accidents that occur in a year  Given: X→P(3.5) If no accidents…

Q: Suppose that the average number of calls received by customer services is 20 per hour. Assume…

A: Given that the average number of calls received by customer services is 20 per hour.

Q: The number of customers arriving at a teller’s window at Commercial Bank is Poisson distributed with…

A: (1) Obtain the probability of zero customers per minute. The probability of zero customers per…

Q: A firm has two cars which it gives on rent every day. Average demand of car is 1.5 per day. Using…

A:

Q: The mean number of typhoon hitting US follows a Poisson distribution with     variance 0.5 per…

A: In general, the mean and variance of the Poisson distribution is same. Here, ?=0.5 per month. a)…

Q: The number of people arriving for treatment at an emergency room can be modeled by a Poisson process…

A: Let X be the random variable from Poisson distribution with a rate parameter λ = 5 Then,  We will…

Q: The number of traffic accidents at a certain intersection is thought to be well modeled by a Poisson…

A:

Q: The number of students showing up to office hours follows a Poisson process with an average of 1…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Show that the chain of independent random variables has a unique stationary distribution and find…

A: A probability distribution of the Markov chain which remains stable and unchanged as time progresses…

Q: The number of people arriving per hour at the emergency room (ER) of a local hospital seeking…

A: NOTE-AS PER POLICY I HAVE CALCULATED FIRST MAIN QUESTION ONLY Here Given  The number of people…

Q: Customers arrive to a local bakery with an average time between arrivals of5 minutes. However, there…

A:

Q: At a toll-booth on-ramp there is a stochastic arrival distribution. Vehicles are counted in…

A: Given that vehicle are counted in 20 seconds intervals & vehicle count are taken in 120 of these…

Q: Use excel sheet to find The number of gamma rays emitted per second by a certain radioactive…

A:

Q: The time between arrival of buses follows an exponential distribution, with a mean of 20 minutes. •…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: The number of traffic accidents at a certain intersection is thought to be well modeled by a Poisson…

A: Given that, the number of traffic accidents at a certain intersection is thought to be well modeled…