Consider an M/M/1 queuing system with mean inter arrival time of 4 minutes. The average service time for each customer is 3 minutes. The probability that there are 3 arrivals in the system is closest to

Q: Suppose the commuting time on a particular train is uniformly distributed between 34 and 54 minutes.…

A: Let's assume X = The commuting time on a particular train  As given, the commuting time on a…

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: The unemployment rate in a city is 15%. If 6 people from the city are sampled at random, find the…

A: Given problem Given that   The unemployment rate is 15% . If 6 people from the city are sampled at…

Q: A mail-order company has a 9% success rate. If it mails advertisements to 500 people, find the…

A:

Q: The acceptance scheme for purchasing lots containing a large number of batteries is to test no more…

A: Given: n = 75 P(failure ) = 0.001 To find: What is the probability that it is rejected in 10 or…

Q: In a town with 10,000 populations, they got a call to test a certain disease that has an incidence…

A: Consider the following events, D=a person has the diseaseD'=a person does not have the diseaseP=test…

Q: The probability that an item made by a certain company will be defective is 0.1. Compute the…

A: Given: Probability of defective item is, p=0.1. Number of items is batch is, n=10. The objective…

Q: A dice is biased so that the probability of throwing a 5 is 0.75 and the probabilities of throwing a…

A: Let, X=the number of times 5 appear. n=number of trials= 90 p=probability of success= 0.75 X follows…

Q: If it is known that the results of the report from the production department of a Garment Industry…

A:

Q: A manufacturing process that produces electron tubes is known to have a 10% defective rate. Suppose…

A: X~B(n,p)P(X=x)=nxpx(1-p)(n-x)    x=0,1,2,3,...,nE(x)=mean=npvariance=np(1-p)

Q: compute the probability that it finds three or more broken gizmos (out of the 100 tested).

A: here given  A firm uses a machine that, when operating correctly, successfully produces working…

Q: According to a survey by the Administrative Management Society, one-half of U.S. companies give…

A: Given: Sample size of companies (n) = 6 Probability of a company giving vacation (p) = 0.5 Let X be…

Q: Suppose the time it takes for Sandy to run one kilometer is uniformly distributed from 360 seconds…

A: Let X be the time it takes for Sandy to run one kilometer is uniformly distributed from 360 seconds…

Q: If 2 of 20 tires are defective and 6 them are randomly chosen for inspection. What is the…

A: GivenTotal no.of tires(N)=20No.of tires are chosen(n)=6No.of tires are…

Q: . Suppose that 25% of all students at a large public university receive financial Let X be the…

A: Givenp=0.25n=50Let "x"be students receive aidx~Binomial(n=50,p=0.25)P(X=x)=(nx)×px×pn-x   ;…

Q: A new automated production process has an average of 1.5 breakdowns per day. Because of the cost…

A:

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: Consider an M/M/1 queuing system with mean inter arrival time of 6 minutes. The average service time…

A:

Q: Given an arrival process with λ = 5.0, what is the probability that an arrival occurs after t = 5…

A: Given an arrival process with λ = 5.0

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

A:

Q: If we presume that these two events are independent, what is the probability of both happening next…

A: Define some events A: a mass squirrel uprising  B: cats and dogs will sign a peace treaty allowing…

Q: According to the Almanac of Questionable Statistics, Vol 4 (2012), the probability of a mass…

A: The necessary condition for the independence of two events A and B is given below:

Q: The infection rate of a certain disease is estimated to be 6%. Suppose 18 people enter a room…

A:

Q: If the number of minutes it takes a service stationattendant to balance a tire is a random variable…

A: Let x be the number of minutes it takes a service station time balance a tire follows exponential…

Q: Suppose that an average of 10 customers per hous arrive at a shop according to a poisson procee.…

A:

Q: The rates of on-time flights for commercial jets are continuously tracked by the U.S. Department of…

A: The probability that exactly 15 flights arrive late is obtained below:Here, the flights which are…

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: A pharmaceutical company knows that approximately 5% of its birth- control pills have an ingredient…

A: Given: Sample size, n=200 Probability of ineffective pills, p= 0.05

Q: In a certain coffee shop, each customer orders exactly one cup of coffee, and 60% of customers order…

A:

Q: The number of new customers per week is Poisson with mean rate 4. What is the probability of 2, 3,…

A:

Q: Given an arrival process with λ = 5.0, what is the probability that an arrival occurs after t = 7…

A: Assuming the arrival follows Poisson distribution. The inter arrival times will be exponentially…

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

A: 41 Obtain the probability that 2 or fewer will withdraw. The probability that 2 or fewer will…

Q: According to the Almanac of Questionable Statistics, Vol 4 (2012), the probability of a mass…

A: Let us denote: A=mass squirrel uprising in any given year B= cats and dogs will sign a peace treaty…

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: According to the Almanac of Questionable Statistics, Vol 4 (2012), the probability of a mass…

A: Let A denote event mass squirrel uprising and B denote the event of cats and dogs signing peace…

Q: FInd the expected number of infected ducks in a sample of 5 ducks if the probability of an infected…

A: Given dataNo of ducks = 5Probability of an infected duck p = 0.3Using Binomial theoremProbability of…

Q: Find the expected number of infected ducks in a sample of 5 ducks if the probability of an infected…

A: Let the random variable X represents the number of infected ducks.It is given that the probability…

Q: A manufacturing company regularly conducts quality control checks at specified periods on the…

A: Let X denotes the number of defective LED bulbs. Here, n = sample size = 10 and p = 0.09 Thus, the X…

Q: Based on a survey, when 1009 consumers were asked if they are comfortable with drones delivering…

A: Let x be the number of customers comfortable with the drones is represented as 0 + which follows…

Q: Consider a computer system with poison job arrival stream at an average of three job arrivals per…

A: λ = 3 per minute

Q: The number of meteors found by a radar system in any 30-second interval under specified conditions…

A: Let 'X' be the no of meters found by a radar system .given , the average meters found in 30…

Q: The rates of on-time flights for commercial jets are continuously tracked by the U.S. Department of…

A: Solution-: Given:  We find, P[Exactly 4 flights arriving on time ]=?

Q: Suppose that the amount of time it takes a clerk to process an employment application is uniformly…

A: Given problem Given that

Q: Based on prior experience, a super-duper unnamed Statistics professor at a local university that…

A: From the given information we have to find, 1. Random variable X. 2. Probability distribution of X.…

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

A: We have to find the probability that a randomly chosen customer is more than 48 years old..

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…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.