Suppose I’ve already been waiting to use the bank machine for six minutes. What is the probability my total waiting time will be at least 10 minutes?
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Suppose I’ve already been waiting to use the bank machine for six minutes. What is the...
Suppose that the average waiting time at a banking service is 10 minutes. A customer waited for 10 minutes, find the probability that he will be still waiting after 30 minutes. What is the approximate probability that the average waiting time of the next 25 customers is at most 12 minutes?
Suppose the waiting time, in minutes, at a checkout line in a local super market follows a Uniform distribution in the interval (1,6) a. How long is a randomly chosen customer at the super market expected to wait at the checkout counter? b. What is the probability that a randomly chosen customer at the super market will wait between 2 and 5 minutes to be checked out? c. Suppose a random sample of 100 customers is taken at the super...
You are waiting at the bus stop for a bus, which arrives every X minutes, where X is a random variable with an exponential PDF, and a mean of 30 minutes. You have been already waiting for 10 minutes. What is the probability that you will wait for 20 more minutes, given that you have already been waiting for 10 minutes?
A person arrives at a bus stop each morning. The waiting time, in minutes, for a bus to arrive is uniformly distributed on the interval (0,15). a. What is the probability that the waiting time is less than 5 minutes? b. Suppose the waiting times on different mornings are independent. What is the probability that the waiting time is less than 5 minutes on exactly 4 of 10 mornings?
4. When John enters the bank office, there are four customers waiting in line and one customer is being served. There is a single clerk and the service time is exponentially distributed with λ-10 customer per hour, independent of everything else. (a) (2 points) What is the average service time per customer? (b) (4 points) What is the distribution of John's waiting time? (c) (4 points) Calculate the expected value and variance of John's waiting time. (d) (10 points) It...
4. When John enters the bank office, there are four customers waiting in line and one g served. There is a single distributed with A10 customer per hour, independent of everything else. (a) (2 points) What is the average service time per customer? (b) (4 points) What is the distribution of John's waiting time? (c) (4 points) Calculate the expected value and variance of John's waiting time (d) (10 points) It has been 15 minutes and now John is the...
A bus comes by every 14 minutes. The times from when a person arives at the busstop until the bus arrives follows a Uniform distribution from 0 to 14 minutes. A person arrives at the bus stop at a randomly selected time. Round to 4 decimal places where possible. c. The probability that the person will wait more than 4 minutes is _____ d. Suppose that the person has already been waiting for 0.5 minutes. Find the probability that the...
The process of being served at a bank consists of two parts—the time waiting in line and the time it takes to be served by the teller. Suppose that the time waiting in line (X) has an expected value of 4.21 minutes, with a standard deviation of 1.1 minutes, the time it takes to be served by the teller (Y) has an expected value of 6.65 minutes, with a standard deviation of 1.32 minutes, and the correlation coefficient between the...
The process of being served at a bank consists of two parts—the time waiting in line and the time it takes to be served by the teller. Suppose that the time waiting in line (X) has an expected value of 3.18 minutes, with a standard deviation of 1.04 minutes, the time it takes to be served by the teller (Y) has an expected value of 6.27 minutes, with a standard deviation of 1.66 minutes, and the correlation coefficient between the...
A bus comes by every 15 minutes. The times from when a person arives at the busstop until the bus arrives follows a Uniform distribution from 0 to 15 minutes. A person arrives at the bus stop at a randomly selected time. Round to 4 decimal places where possible. a. The mean of this distribution is b. The standard deviation is c. The probability that the person will wait more than 5 minutes is d. Suppose that the person has...