Trams arrive at a tram stop at a frequency of 15 per hour. What is the probability that 5 trams arrive in 20 minutes? Assume a Poisson distribution.

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: 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…

Q: f 9% of all cars fail the emissions inspection, find the probability that in a sample of 125 cars,…

A: Given: 9% of all cars fails the emission inspection (p=0.09) n=125 P(X=16)=?

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: 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 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: 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: 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 number of work emails received in a day is 27.  Following a Poisson Distribution,…

A: We have find probability...

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: A new encyclopedia is published. It is 10000 pages long. Each page has a probability of 1/4000 of…

A: Given,  n=10000 P=14000 According to Poisson Distribution,  Px=e-μ×μxx! Mean μ=n×p 10000×14000=2.5

Q: In a recent​ year, an author wrote178checks. Use the Poisson distribution to find the probability​…

A:

Q: In a recent​ year, a hospital had 4472 births. Find the mean number of births per​ day, then use…

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: probability that the 7th message is received within 20 seconds?

A: Given: X=Number of messages sentX~Poisson(λ=20)λ=20 per minute The probability density function for…

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

A: From the provided information, The number of births at a local hospital follows a Poisson…

Q: 4. Chris has a 1% chance of typing a word incorrectly. Find, to three decimal places, the…

A:

Q: Calculate the probability that the insurance company receives four claims in a week.

A:

Q: It is assumed that the number of patients who apply to a district hospital at night fits the Poisson…

A: Given: X~P(λ=4)

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: Assume that when adults with smartphones are randomly selected, 36% use them in meetings or classes.…

A: We have to find given probability..

Q: The number of crashes of a mainframe computer in a college follows a Poisson distribution with an…

A: The Poisson distribution is given by, px; λ=e-λλxx! Here, x is the number of crashes of a mainframe…

Q: The number of rainstorms in a week follows a Poisson distribution with mean 1.2. Weeks are mutually…

A: It is given that, the number of rainstorms in a week follows a Poisson distribution with mean 1.2.

Q: You work at a mechanic shop.  On average, 10 cars come into your shop each day.  Assuming a poisson…

A:

Q: Jaylen, a basketball player, is known to make 41% of his shots. What is the probability distribution…

A: Given that  Success of probability p =41%=0.41 Number of trials n=7 X~binomial (n,p)

Q: A bank received on average 8 bad cheques per day. What is the probability that the bank will receive…

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: 3% of the computers produced in a factory are defective. Use the Poisson distribution to approximate…

A: We have to find given probability.

Q: A certain kind of sheet metal has, on average, 6 defects per 17 square feet. Assuming a Poisson…

A: It is given that there are 6 defects per 17 square feet sheet metel.It is required to obtain the…

Q: The number of corner kicks in a 90 minute soccer game follows a Poisson distribution with a mean of…

A:

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

Q: In a recent​ year, a hospital had 4142 births. Find the mean number of births per​ day, then use…

A: Solution-: Given : Mean number of birth per year (365 days) is 4142 We want to find, (a) The…

Q: The number of calls received by an office follows Poisson distribution with a mean of 8 calls.…

A: Answer: From the given data, Let X: number of calls received by an office follows X follows Poisson…

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…