The time (in minutes) between arrivals of customers to a post office is to be modelled by the Exponential distribution with mean 0.4. Part a) What is the probability that the time between consecutive customers is less than 15 seconds? Part b) Find the probability that the time between consecutive customers is between ten and fifteen seconds. Part c) Given that the time between consecutive customers arriving is greater than ten seconds, what is the chance that it is greater than fifteen seconds?

Q: 1) Suppose that the expected number of accidents occurring on a highway each day = 2. (a) What is…

A: Poisson Distribution: A discrete random variable X is said to be Poisson distribution and the…

Q: Assume that the time it takes for bacterial growth on a dairy product after it is taken out of…

A: As per given by the question, there are given exponential distribution with mean 10 minutes. Now,…

Q: So the Probability of the athlete beating a hill time of 2.27 seconds on 4 or more of the 10 gate…

A:

Q: Suppose that the first Section of Applied Stat class ends at 13:20 and the second starts at 13:30…

A: Given information: The mean of exponential distribution is , 1λ = 6.7. Let X be a random variable…

Q: The failure time (T) of an electronic circuit board follows exponentially distribution with…

A: As per bartleby policy, I have solved only three sub parts. Please upload the remaining under…

Q: The time between 2 city buses follows exponential distribution with rate 2 buses per hour 1. What is…

A: The probability density function for exponential distribution is given by f(x)=λe-λx and it is…

Q: The lifetimes of hydrants on the streets of New York described by using an exponential distribution…

A: Let X be the lifetimes of hydrants on the streets of New York.Given that  want to find the…

Q: The failure times of a computer disk drive are exponentially distributed with a mean of 3000 hours.…

A: To find the probability that the repair cost is more than RM800 in one year, we need to consider the…

Q: Explain in general terms the relationship that exists between the Poisson and exponential…

A:

Q: The waiting time at a grocery checkout has an exponential distribution with mean of 9 minutes. What…

A:

Q: The orange graph shown below is the probability function of the Pandom m varlat which represents the…

A:

Q: The digestion time in hours of a fixed amount of food is exponentially distributed with a mean of 1…

A: The exponential density function is,

Q: If the time between calls in a call center follows an Exponential Distribution with mean 5 minutes,…

A: Given: mean (μ)= 5 minutes λ=15 per minute

Q: please anwer all parts

A: a)   probability that the time taken by a customer representative (CR) to help the next customer is…

Q: Based on historical data, on average, Florida experiences one flooding event every 2.4 months.…

A:

Q: A large room contains 8 light bulbs. Any one of the light bulbs can blow independently of the other…

A:

Q: (b) On an average 48 trains arrive at the platform of a railway station per day. The stoppage period…

A: Note:  Since we only answer up to 3 subparts, we'll answer the first 3. Please resubmit the question…

Q: Suppose that the customers are standing in a line to be served by a teller in a bank. The amount of…

A: Let the time spent by each customer be denoted by 'X'. X~Exp110 The PDF for the exponential…

Q: Today, the waves are crashing onto the beach every 4.4 seconds. The times from when a person arrives…

A: We know that the pdf of Uniform distribution is f(x) = 1/(b-a) ,      a<x<b

Q: The time (in hours) until the next emergency arrival at a hospital follows an exponential…

A: Given: mean = 2.1 Last arrival = 3 hours back

Q: The interval between consecutive hits at a website is assumed to follow an exponential distribution…

A: We have given thatXExp()

Q: Illustration 83. The following data show the length of life of wholesale grocers in a particul- city…

A:

Q: ngers. The time between calls for tickets is exponentially distributed with a mean of 30 minutes.…

A: Given The mean time between arrivals is 30 minutes. Therefore the mean number of arrivals in 3 hours…

Q: The time to failure (in hours) for a laser in a cytometry machine is modeled by an exponential…

A:

Q: The failure time (T) of an electronic circuit board follows exponentially distribution with failure…

A:

Q: er average driving conditions, the life length of automobiles batteries of a certain brand is d to…

A: Given  mean=3,  X~exp(1/3) (a) P(X>3)=?  (b) P(X>3| X>1)=?

Q: If the inter-arrival time and service time in a public telephone booth with a single phone follow…

A:

Q: ppose that the number of miles that a car càn run before its tery wears out is exponentially…

A:

Q: The cost of all maintenance for a car during its first year is approximately exponentially…

A: f(x) = λe-λx , x >0 ====================== NOTE: As per the guidelines, I can solve only the…

Q: The lifetime (in years) of a specific helicopter part follows an exponential distribution whose…

A:

Q: The time between calls to a plumbing supply business is exponentially distributed with a mean time…

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

Q: Determine the following probabilities: (a) P(T > 30), (b) P(12 <T< 18), (c) P(T < 25).

A: T~E(20)

Q: he time (in hours) until the next emergency arrival at a hospital follows an exponential…

A: Given :  Arrival rate λ=2.1  Since interarrival time t is given in hours

Q: The time until the graduates of a department find their first jobs after graduation follows an…

A:

Q: It should be stated that the battery of a pos device has an exponential distribution with an average…

A:

Q: An economist has observed that the time between recessions has an exponential distribution with mean…

A:

Q: manager of a gas station has observed that the times required by drivers to fill their cars tank and…

A: Given  Mean=7 min  X~exp(1/7)