It is known from past experience that in a certain plant there are on the average 4 industrial accidents per year. Find the probability that In a given year there will be less than 4 accidents. Assume Poisson distribution.

Q: The time between arrivals of vehicles at a particular intersection follows an exponential…

A: given data exponential distributionμ = 11 secondsλ = 111 per secondsx = time between…

Q: What might be a set of numbers we expect to be normally distributed?

A: Introduction: A normally distributed random variable has a symmetric, bell-shaped distribution,…

Q: Machine A is later found that it will produce 2 defective toys per hour. According to the most…

A:

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: A health and safety consultant working in a large department store finds that the wait time for a…

A: Solution-: Given: a=2, b=6 We want to find P(a person can reach the ground floor in less than 3.25…

Q: Suppose that 65% of all dialysis patients will survive for at least 5 years. In a simple random…

A: given data p(survive atleast five year) =p  = 0.65sample size (n) = 100P(p^>0.80) =?

Q: ppose the number of births at a local hospital follows a Poisson distribution with a mean of 6…

A: given data  λ = 6 births per week cx = no. of births in a week P(x=X) =e-λ(λ)xx!

Q: If arrivals follow a Poisson distribution with mean 3 arrivals per minute, find the probability that…

A:

Q: Assume that the number of students in a class follows the Poisson distribution with λ = 14. The…

A: Poisson distribution is a discrete probability distribution.

Q: A bakery produces an average of 50 loaves of bread per day. The number of loaves produced by the…

A: The objective of this question is to find the probability that the bakery will sell at least two…

Q: Use the Poisson distribution tables, not the mathematical formula.  It is estimated that 2% of the…

A: Given : 2% of the people in an auditorium of 100 unmarried/not related adults own a second home i.e…

Q: The average rate of job submissions in a busy computer center is 3 per minute. If it can be assumed…

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Q: The random variable x represents the number of emails a student receives on a day. Assume it has a…

A:

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

A:

Q: In a recent​ year, an author wrote 188 checks. Use the Poisson distribution to find the probability​…

A: Solution: Let X be the random variable that the number of check written in a year. The formula for…

Q: In a recent​ year, a hospital had 4350 births. Find the mean number of births per​ day, then use…

A: Given that, a hospital had 4350 births in a recent year Here, consider the year has non-leap year…

Q: A bakery produces an average of 50 loaves of bread per day. The number of loaves produced by the…

A: The objective of this question is to find the probability that the bakery will sell at least two…

Q: The east coast suffered seven major hurricanes in 2021. Assume that this is the new average, and…

A: It is given that the east coast suffered seven major hurricanes in 2021.

Q: A manager of an apartment store reports that the time of a customer on the second floor must wait…

A: A manager of an apartment store reports that the time of a customer on the second floor must wait…

Q: Suppose the number of births at a local hospital follows a Poisson distribution with a mean of 6…

A: GivenMean of 6 births per weekλ=6 per weekLet "x" be the no.of births in a…

Q: The number of calls made by a telemarketer follows a Poisson distribution with a mean of 2 calls per…

A: Using Poisson Distribution

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

A: Obtain the probability that the number of such accidents is at most 6 in one day. The probability…

Q: In a recent year, a hospital had 4463 births. Find the mean number of births per day, then use that…

A: In a recent year, a hospital had 4463 births.

Q: Calculate the probability that exactly 4 thefts occur in an hour.

A: Let , X be the number of motor vehicle thefts occur each hour in the United States. Here ,…

Q: The number of calls made by a telemarketer follows a Poisson distribution with a mean of 2 calls in…

A: Poisson pmf with rate lambda= 6