Problem 14: Suppose that the checkout time at a grocery store is an exponential random variable with mean 4 minutes. Estimate the probability that a cheker will serve more than 77 customers during a 6 hour shift.

Q: What is the probability that producing 40 units will not be enough to cover the demand?

A: In the given problem, a small fleet of airplanes is nearing the end of its lifetime and the…

Q: Suppose a drug manufacturing facility has 1,000 machines, and each machine's lifetime is…

A: From the provided information, Machine’s lifetime is exponentially distributed with mean (1/λ) = 2…

Q: Suppose that 65% of all dialysis patients will survive for at least 5 years. In a simple random…

A: given data p(survive atleast five year) =p  = 0.65sample size (n) = 100P(p^>0.80) =?

Q: A grocery clerk can serve 20 customers per hour on average and the service time follows an…

A: We have givenλ = 20/60 = 1/3 = 0.33 per minute X ~ Exponential (λ) Since we know that Cdf of…

Q: Suppose you draw a random sample of 100 observations from a population with a variance = 25. What is…

A:

Q: Suppose that on the average, 8 students enrolled in a small liberal arts college have their…

A:

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: The time between aircraft landing at a local airport has an exponential distribution with a mean of…

A: Let X=The time between aircraft landing at a local airport Given that X follows an exponential…

Q: Suppose the commuting time from North Bay to Barrie varies uniformly from 135 min to 180 min. What…

A: GivenA random variable x~Uniform(135,180)f(x)=1180-135f(x)=145     ; 135≤x≤180and cumulative…

Q: If 25 male college students are randomly​ selected, find the probability that their mean weight gain…

A: It is given that the mean is 1.2 and standard deviation is 5.6.

Q: 5. Suppose that a life-table mortality pattern is as follows: from ages 20 through 60, twice as many…

A:

Q: If the estimated mean of crashes at intersection is 10, what is the probability of having 5, 10 and…

A: Given the estimated mean of crashes at an intersection is; μ=10 Let, X = The number of crashes next…

Q: The time between two telephone calls that arrive at a Police station is often modeled as an…

A: Exponential distribution is a continuous probability distribution. This indicates the time between 2…

Q: Suppose that 60% of all California motorists are insured. Find the probability  that more than 55%…

A: given data  P(insured) = p = 0.60 sample size n = 100 P(p^>0.55) = ?

Q: Suppose the time it takes a cashier to serve a customer follows an exponential distribution with a…

A: given data service time : μ = 3 minutes λ = 13 per minute

Q: Suppose that the average number of accidents occurring weekly on a par- ticular stretch of a highway…

A:

Q: the probability of rolling “5” after 6 rolls is 1/6, what is the complement of the  probability of…

A: Given that  The probability of rolling “5” after 6 rolls=P(A)=1/6

Q: Smith is a weld inspector at a shipyard. He knows from keeping track of good and substandard welds…

A: It is given that p = 0.05 and n =300.

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

A:

Q: Suppose 51% of the population has a retirement account.   If a random sample of size 530 is…

A: Using ‘normal approximation conditions’ check whether the proportion can be approximated to normal…

Q: e average incidence is 2 per million people. What is the probability that a city of 1 million people…

A: By using Poisson distribution:

Q: Suppose 50 % of politicians are lawyers. If a random sample of size 518 is selected, what is the…

A: Consider that p is proportion of all politicians.

Q: Suppose that on the average, 8 students enrolled in a small liberal arts college have their…

A: Let us consider X as the number of students enrolled in a small liberal arts college have their…

Q: 4. The time between calls to a plumbing supply business is exponentially distributed with a mean…

A: Let X be the continuous random variable representing the time between the calls. The time between…

Q: Suppose the late time can be modeled as an exponential distribution with mean 3.5 minutes. If this…

A: given data exponential distributionx=late time P(X>x)=e-λxP(X≤x)=1-e-λxμ=3.5minutes∴λ=13.5 per…

Q: Suppose that the amount of time one spends in a bank is exponentially distributed with mean 10…

A: Let X be the amount of time one spends in a bank follows exponentially distributed with mean of 10…

Q: Q1. If the average number of suicide in Bollywood is 3 per year, what is the probability that…

A:

Q: Suppose there is a disease, whose average incidence is 1 per million people. What is the probability…

A: Given Suppose there is a disease, whose average incidence is 1 per million people.

Q: We know that the wait time for talking to a customer service staff on the phone is modelled after an…

A: Sol: Waiting is denoted by X. X is exponentially distributed with mean 10 min. The objective is to…

Q: If Y is a random variable from an exponential distribution with a mean of 5; what is the probability…

A:

Q: 4. The time between calls to a plumbing supply business is exponentially distributed with a mean…

A: The mean time is 15 minutes. Therefore the mean rate is 115≈0.067 calls per minute The function is…

Q: Suppose that on the average, 3 students enrolled in a small liberal arts college have their…

A: Given The data is as follows: On avg., 3 small liberal arts college students who have their…

Q: Find the probability that a driver with at least one collision in the past year is a middle aged…

A:

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.