Homework Answers
X: Time
X follows uniform distribution ranging from 2 to 5 minutes.
We have to find P(X < 4.5)
We know that cumulative distribution function of uniform distribution.
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|(1 point) A manager of an apartment store reports that the time of a customer on...
(1 point) A manager of an apartment store reports that the time of a customer on...
(1 point) A manager of an apartment store reports that the time of a customer on the second floor must wait for the elevator has a uniform distribution ranging from 0 to 4 minutes. If it takes the elevator 15 seconds to go from floor to floor, find the probability that a hurried customer can reach the first floor in less than 3 minutes after pushing the elevator button on the second floor answer:
A manager of an apartment store reports that the time of a customer on the second...
A manager of an apartment store reports that the time of a customer on the second floor must wait for the elevator has a uniform distribution ranging from 22 to 66 minutes. If it takes the elevator 1515 seconds to go from floor to floor, find the probability that a hurried customer can reach the first floor in less than 3.753.75 minutes after pushing the elevator button on the second floor.
(4 points) A manager of a department store reports that the time of a customer on...
(4 points) A manager of a department store reports that the time of a customer on the second floor must wait for the elevator has a uniform distribution ranging from 2 to 4 minutes. If it takes the elevator 30 seconds to go from floor to floor, find the probability that a hurried customer can reach the first floor in less than 2.25 minutes after pushing the elevator button on the second floor answer
The manager of a multi-floor hotel reports the wait time for an elevator on any floor...
The manager of a multi-floor hotel reports the wait time for an elevator on any floor follows a uniform distribution. The shortest wait time is 2 minutes and the hotel guarantees guests won’t wait more than 6 minutes. 10% of the time, guests wait less than k minutes for the elevator. Find k. (Enter answer rounded to two decimals.) ___________________
1. A customer service representative must spend different amounts of time with each customer to resolve...
1. A customer service representative must spend different amounts of time with each customer to resolve various concerns. The amount of time spent with each customer can be modeled by the following distribution: X ~ Exp(0.2) Find median. Round to the nearest a. 3.5 b. 7 c. 5 d. 2.5 2. Suppose you arrive into a building and are about to take an elevator to the your floor. Once you call the elevator, it will take between 2 and 40...
3.48. At Samantha's Super Store, the customer service area processes customer returns, answers customer questions a...
3.48. At Samantha's Super Store, the customer service area processes customer returns, answers customer questions and provides inform- ation, addresses customer complaints, and sells gift certificates. The manager believes that if customers must wait longer than 8 minutes to see a customer service representative they get very irritated. The cus- tomer service process has been designed to achieve a customer wait time of between 6 and 12 minutes. The store manager has conducted 10 samples of five observations each of...
The time it takes me to drive to my favorite store follows a uniform distribution of...
The time it takes me to drive to my favorite store follows a uniform distribution of 20 to 30 minutes. What is the probability (decimal) that it takes me 28 minutes or less?
Service time for a customer coming through a checkout counter in a retail store is a...
Service time for a customer coming through a checkout counter in a retail store is a random variable with the mean of 4.0 minutes and standard deviation of 1.5 minutes. Suppose that the distribution of service time is fairly close to a normal distribution. Suppose there are two counters in a store, n1=41 customers in the first line and n2=51 customers in the second line. a.Compute the mean and the variance of X1 bar−?2 bar. b.Find the probability that the...
Service time for a customer coming through a checkout counter in a retail store is a...
Service time for a customer coming through a checkout counter in a retail store is a random variable with the mean of 2.0 minutes and standard deviation of 4.0 minutes. Suppose that the distribution of service time is fairly close to a normal distribution. Suppose there are two counters in a store, n = 31 customers in the first line and n2 = 42 customers in the second line. Find the probability that the difference between the mean service time...
Let X1, X2 ... be a sequence of random variables. Write down the definition of "Xin...
Let X1, X2 ... be a sequence of random variables. Write down the definition of "Xin con- verges to X in distribution". State the central limit theorem formally. Make sure to include all the assumptions of the theorem. Ten people wait in line to pay their items at a store. Suppose the amount of time (in minutes) that each customer takes to pay is a Uniform([1, 3]) random variable. Use the central limit theorem to approximate the probability that it...
(1 point) A manager of an apartment store reports that the time of a customer on the second floor must wait for the elevator has a uniform distribution ranging from 0 to 4 minutes. If it takes the elevator 15 seconds to go from floor to floor, find the probability that a hurried customer can reach the first floor in less than 3 minutes after pushing the elevator button on the second floor answer:
(4 points) A manager of a department store reports that the time of a customer on the second floor must wait for the elevator has a uniform distribution ranging from 2 to 4 minutes. If it takes the elevator 30 seconds to go from floor to floor, find the probability that a hurried customer can reach the first floor in less than 2.25 minutes after pushing the elevator button on the second floor answer
3.48. At Samantha's Super Store, the customer service area processes customer returns, answers customer questions and provides inform- ation, addresses customer complaints, and sells gift certificates. The manager believes that if customers must wait longer than 8 minutes to see a customer service representative they get very irritated. The cus- tomer service process has been designed to achieve a customer wait time of between 6 and 12 minutes. The store manager has conducted 10 samples of five observations each of...
Service time for a customer coming through a checkout counter in a retail store is a random variable with the mean of 2.0 minutes and standard deviation of 4.0 minutes. Suppose that the distribution of service time is fairly close to a normal distribution. Suppose there are two counters in a store, n = 31 customers in the first line and n2 = 42 customers in the second line. Find the probability that the difference between the mean service time...
Let X1, X2 ... be a sequence of random variables. Write down the definition of "Xin con- verges to X in distribution". State the central limit theorem formally. Make sure to include all the assumptions of the theorem. Ten people wait in line to pay their items at a store. Suppose the amount of time (in minutes) that each customer takes to pay is a Uniform([1, 3]) random variable. Use the central limit theorem to approximate the probability that it...
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