Suppose that an average of 10 customers per hous arrive at a shop according to a poisson procee.  What is the probability that the shopkeeper will have a customer within 20 minutes of opening the store? What is the probability that shopkeeper will wait more than an hour before having three customers?

Q: Suppose that the commuting time on a particular train is uniformly distributed between 35 and 55…

A: Continuous uniform distribution: A random variable X is said to have the rectangular distribution…

Q: (1) a washing machine in Luigig laundry mat breaks down an average of three times per month. using…

A: Find the probability that the machine will have exactly 2 breakdowns. Consider the random variable X…

Q: A gas station has three pumps who receive cars independently of one another, each according to a…

A: Given dataA gas station has three pumps who receive cars independentlyof one another each according…

Q: A college graduate believes he has 60% chance of getting a particular job. Historically, 75% of the…

A: In question, Given that a college graduate believes he has 60% chance of getting a particular job.…

Q: A survey conducted by the Consumer Reports National Research Center reported, among other things,…

A:

Q: A short-term insurance company receives three motor vehicle claims on average per day. Assume that…

A:

Q: The number of people arriving at a particular bank teller is approximately distributed as a Poisson…

A: Solution: Let X represents the number of people arriving at a particular bank teller.  The average…

Q: Suppose 0.2 of the graduates of a job training centre receive lower paying jobs than they had prior…

A: Here, n = 6 and p = 0.8 (= 1 – 0.2)

Q: In a Poisson process with an average arrival rate of 1.4 per hour, what is the probability the next…

A: Given , λ = 1.4 per 60 minutes  X follows exp(λ) P(X≥x) = e-λxP(X≤x) =  1- e-λx

Q: The WSS Company has one repairman who services 80 machines in their shop and repairs machines that…

A: Given Let X denote the number of machines the repairman fix in a day. X~P(λ) Average breakdown is λ=…

Q: the number of accidents in a production facility has a poisson distribution with a kean 2.7 per…

A:

Q: A short term insurance company receives five motor vehicle claims, on average, per day. Assume that…

A: Given that a short term insurance company receives five motor vehicle claims, on average, per day.…

Q: suppose that when a new machine is functioning well, 92% of the items produced are non-defective.…

A: Probability of selecting non defective = 92% = 0.92 q= 0.92 We know that, p= 1-q= 0.08  If we select…

Q: t an uncontrolled T- junction, it is seen that on an average, 2 vehicles turn to the right in each…

A: Given: Average number of vehicles in 120 seconds λ=2 Let X be the number of vehicles arriving in 120…

Q: A public health officer is tracking down the source of a bacterial infection in a certain city. She…

A: Given: λ=3 The probability that a randomly chosen block has at least seven cases is obtained as…

Q: Suppose we expect 2 arrivals per hour and arrivals have the Poisson distribution. 1. What is the…

A: As per honor code we will only answer subparts of first question. 1)  Expected number of arrivals…

Q: A statistics professor finds that when he schedules an office hour at the​ 10:30 a.m. time​ slot, an…

A: Givenan average of three students arriveλ=3x~poisson(λ=3)P(X=x)=e-λ×λxx!  ; x≥0

Q: What is the probability that after an hour of fishing the boat has 3 fish in it?

A: consider that two people go fishing together in a boat, and keep all the fish they catch. The first…

Q: O A mountain search and rescue team receives a mean of 0.44 calls per day. Find the probability that…

A: The mean (λ) is 0.44.

Q: Suppose that an average of 15 customers per hous arrive at a shop according to a poisson procee.…

A:

Q: Suppose small aircraft arrive at a certain airport, according to Poisson process, at the rate of one…

A:

Q: If a real estate office sells 1.6 houses on an average weekday and sales of houses on weekdays are…

A: As per our guidelines we can solve first three sub part of question and rest can be reposted.…

Q: 1. Suppose that an average of 10 customers per hour arrive at a shop according to a Poisson process.…

A: 1) X denotes waiting time in minutes until the first customer arrives and note that λ=1060=16 is the…

Q: Suppose a life insurance company insures the lives of 4,000 women aged 50. If the actuarial studies…

A: given: life insurance company insures the lives of 4,000 women aged 50. probability that any…

Q: expected time until

A:

Q: A university found that 20% of its students withdraw without completing the introductorystatistics…

A:

Q: Assume that the number of bikes arriving at the campus follows a Poisson process with a rate of 200…

A: Fourth part solution-   Formula poisson distribution is e-u ux/x! U= 200*0.05=10 x=10

Q: 2. Willow Brook National Bank operates a drive-up teller window that allows customers to complete…

A: The Poisson probability distribution with an arrival rate of 24 customer per hour or 0.4 customer…

Q: Suppose that every three months, on average, an earthquake occurs in a certain region. Assuming this…

A: To find: what is the probability that the next earthquake occurs after three but before seven…

Q: According to a safety engineer, barely 40% of all workers wear safety helmets when eating lunch at…

A:

Q: 19. Say that moments of sale on a small company's website are modeled by a Poisson model with 1 =…

A: We have to find the probability that the time to the next sale will be between 12 and 24 minutes.

Q: Suppose a certain retail store has customers whose ages are normally distributed such that µ=37.5…

A: givenμ=37.5σ=7.6

Q: Assume that Tom attends class randomly with probability 0.55 and that each decision is independent…

A:

Q: A person invests $3 in a market in which he may gain $1 with probability or may lose $1 with…

A: Given data A person invests $3 in a market in which he may gain $1 with probability 1/2 or may lose…

Q: The research department of a commercial bank estimates that the 5% of its loans will go into…

A: Given: Proportion of default loans estimated by research department  (θ) = 0.05 Number of customers…

Q: Assume that the number of new visitors to a website in one hour is distributed as a Poisson random…

A: Obtain the probability that in any given hour zero new visitors will arrive at the website The…

Q: A bus company is interested in the wait time of its passengers 8:00 AM and 8:00 PM. Suppose that the…

A: Given that the waiting time follows Uniform distribution with minimum wait time one minute and…

Q: 2. If electricity power failures occur according to a Poisson distribution with an average of 5…

A:

Q: At a factory which produces hard drives, defective hard drives are produced according to a Poisson…

A: Given : At a factory which produces hard drives, defective hard drives are produced according to a…

Q: On an average, a household receives 9.5 telemarketing phone calls per week. Using the poisson…

A:

Q: 2. Willow Brook National Bank operates a drive-up teller window that allows customers to complete…

A: Given: The arrivals to the drive-up teller window follows Poisson probability distribution with…

Q: What is the probability that three Poisson random independent variables A,B, C, with parameters 1,…

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Q: at a computer telephone service on the average of 30 ance with a Poisson process, what is the…

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Q: It is known that the frequency of a database server experiencing a Poisson distributed error with an…

A: Poisson distribution describes the occurrence of rare events. The poison formula is referred to as…

Q: Willow Brook National Bank operates a drive-up teller window that allows customers to complete bank…

A: AS PER POLICY I SHOULD HAVE TO CALCULATE FIRST 3 SUBPART ONLY EVEN THOUGH I HAVE CALCULATED 4 Here…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.