A hotel reservation center typically receives twenty phone calls per hour during weekday afternoon hours in the summer. You are interested in X = the number of calls they will receive between 2:00 and 2:15 on the afternoon of Tuesday, August 13th. What distribution could be used to describe X? Binomial Poisson Neither

Q: In a recent year, a hospital had 4175 births. Find the mean number of births per day, then use that…

A: Given : In a recent year, a hospital had 4175 births.

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: A sample of a radioactive material is studied in a lab. There are 741 gamma ray emissions over 130…

A: Let X be the number of gamma rays emitted per second follow Poisson distribution with Rate of…

Q: An automobile manufacturer finds that 1 in every 2000 automobiles produced has a particular…

A: Given information- We have given that an automobile manufacturer finds that 1 in every 2000…

Q: A shop sells a particular make of video recorder. Assuming that the weekly demand for the video…

A: In question, Given that A shop sells a particular make of video recorder. Assuming that the weekly…

Q: The mean number of cars confiscated by a wrecker is five per day.  Using the Poisson distribution,…

A: Given dataλ=5

Q: Using the formula for a Poisson Distribution,  solve this problem  The pancake house is popular and…

A: The Poisson distribution is popular for modeling the number of times an event occurs in an interval…

Q: Suppose 520 people each have a shuffled deck of cards and draw one card from the deck. What is the…

A: The Binomial distribution is given by  P(x)=C(n,x) px qn-x                                    ...…

Q: Trams arrive at a tram stop at a frequency of 15 per hour. What is the prob 3 trams arrive in 15…

A: Consider that Tram arrive at a tram stop at a frequency of 15 per hour. The tram arrive in 15…

Q: Assume that the Poisson distribution applies and that the mean number of hurricanes in a certain…

A: Givenλ=7.9 per yearx~Poisson(λ=7.9)P(X=x)=e-λ×λxx!  ; x≥0

Q: Find the probability​ that, in a​ year, there will be 5 hurricanes. b. In a 55​-year period, how…

A: Given : Poisson distribution applies with the mean number of hurricanes in a certain area is 7.4 per…

Q: You should assume that serious earthquakes throughout the world occur at a rate of one per 400 days.…

A: Given Rate  : λ400 = 1 Let X : Number of occurrences in a given time period Here the distribution…

Q: In a large field the number of chafer beetles in an area A is thought to follow a Poisson…

A: The poisson distribution gives the probability of number of events can occur in an interval. The…

Q: The number of accidents in a production facility has a Poisson distribution with a mean of 2.8 per…

A: We have to find given probability.

Q: A petrol pump station has 4 pumps. The service times follow the exponential distribution with a mean…

A:

Q: Every day, patients arrive at the dentist’s office. If the Poisson distribution were applied to this…

A:

Q: An auto parts store sells an average of 4.3 oil filters per week. Use the Poisson distribution to…

A:

Q: A banker's average number of error transactions per month is considered to fit the Poisson's…

A: Let X be the number of error transactions per month

Q: On the average, Jayson commits 4 personal fouls in a basketball game. What is the probabili…

A: We have given that  On the average, Jason commits 4 personal fouls in a basketball game.

Q: In 2019, NYC has 11,232 vehicle accidents that occurred Monday – Friday between the hours of 3pm and…

A: Given Information:  NYC has 11,232 vehicle accidents that occurred Monday – Friday between the hours…

Q: In a recent year, a hospital had 4226 births. Find the mean number of births per day, then use that…

A: Given that, The hospital had 4226 births in a year The mean number of births per day is, Let X…

Q: Assume that the number of misprints per page is a certain printing of a textbook has a Poisson…

A: According to the provided information, a textbook has a Poisson distribution with a mean of one…

Q: The local one-person barber shop can accommodate a maximum of 5 people at a time (4 waiting and 1…

A:

Q: An automobile manufacturer finds that 1 in every 2000 automobiles produced has a particular…

A: a)It is given that n =5,500 and p = 1/2000.The probability mass function of binomial distribution is…

Q: 1.In the past, 55% of HC chemistry students have earned a grade of 3.0. From a sample of 40 students…

A: Given,n=40P=0.55mean(μ)=np=40×0.55=22standard deviation (σ)=np(1-p)σ=40×0.55×(1-0.55)σ=3.1464

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

A:

Q: Given that x has a Poisson distribution with µ = 0.7, what is the probability that x = 3? ... P(3) =…

A:

Q: An automobile manufacturer finds that 1 in every 2500 automobiles produced has a particular…

A:

Q: 7. The time between landings of planes at a local airport has an exponential distribution with a…

A: Given that - The time between landings of planes at a local airport has an exponential distribution…

Q: Assume that the Poisson distribution applies and that the mean number of hurricanes in a certain…

A: (a) The mean number of hurricanes in a certain area is 7.7 per year. Given the mean number of…

Q: A grocery store normally sells 6 jars of caviar per week. Use the Poisson Distribution to find the…

A:

Q: A baker put 500 raisins into dough, mixed well, and made 100 cookies. You take a random cookie. What…

A: There are n=100 cookies are made from a dough of 500 raisins. So, there are 500 raisins. Each…

Q: Please show a solution to this problem using the built-in function of Matlab The number of content…

A: The number of content changes to a website follows a Poisson distribution with a mean of 0.25 per…

Q: Assume that the Poisson distribution applies and that the mean number of hurricanes in a certain…

A: The probability mass function is given as P(X=x)=λxe-λx!       x=0,1,... Here, mean is given 7.4,…

Q: An automobile manufacturer finds that 1 in every 2500 automobiles produced has a particular…

A:

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

A:

Q: Q3. A hospital switch board receives an average of 3 emergency calls in 10 minutes interval. What is…

A: Obtain the probability that there are exactly 2 emergency calls. The probability that there are…

Q: On average, you receive 2.6 pieces of junk mail a day. Assume that the number of pieces of junk mail…

A: Expected no. of junk mails per day = 2.6 Expected no. of junk mails in 10 days = 2.6*10 = 26 = λ

Q: An auto parts store sells an average of 8.3 oil filters per week. Use the Poisson distribution to…

A: Given that average = 8.3 ,p( x = 6 ) = ?

Q: An automobile manufacturer finds that 1 in every 2000 automobiles produced has a particular…

A: Given Solution:   A) P = C(4500,4)*(1/2000)^4 * (1999/2000)^(4500 - 4) = ≈ 0.11256

Q: (1) Use the normal distribution to approximate the probability that there will be at least 17…

A: Given Information : Let r be the binomial random variable that represent the number of neutral…

Q: The number of houses sold by an estate agent follows a Poisson distribution, with a mean of 2 per…

A: Given Mean= 2 / week For 4 weeks

Q: The average number of collisions in a week during the summer months at a particular intersection is…

A: Given: The average number of collisions in a week during the summer months at a particular…

Q: In order to use the binomial distribution, which of the following conditions are necessary?

A: here use basic of binomial distribution

Q: In a recent​ year, a hospital had 4275 births. Find the mean number of births per​ day, then use…

A:

Q: In a recent year, Professor Thompson wrote 195 checks. Find the probability that on a randomly…

A: For X~Poisson (λ), the pmf of X is, P(X=x)=e-λλxx! ;  x=0,1,2,3... ; λ>00 ; otherwise The…

Q: A popular resort hotel has 300 rooms and is usually fully booked. About 7% of the time a reservation…

A: Givenn=300p=0.07x~Binomial(n=300,p=0.07)P(X=x)=(nx)×px×(1-p)n-x   ; x=0,1,....,n

Q: A taxi service receives an average of 10.4 calls a day from customers who need a ride to the…

A:

Q: Under what conditions will you use the Poisson and Binomial distributions

A: Here we discuss the condition for Binomial and POISSON.