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From historical data, Harry's Car Wash estimates that dirty cars arrive at the rate of 10 per hour all day Saturday. With a crew working the wash line, Harry figures that cars can be cleaned at the rate of one every 5 minutes. One car at a time is cleaned in this example of a single-channel waiting line.
Assuming Poisson arrivals and exponential service times, find the
(a) average number of cars inline.
(b) average time a car waits before it is washed.
(c) average time a car spends in the service system.
(d) utilization rate of the car wash.
(e) probability that no cars are in the system.
List one unclear concept regarding regression and provide an example from your personal or work life where regression could be used to show a relationship between two variables.
Smaller the p-value in test of hypothesis, the more important the results are.
Determine the probability of exactly one success given Poisson distribution with mean of 2.0.
Why do you think it is significant to describe both the measure of central tendency and the measure of dispersion when talking about a data set?
The number of items rejected daily by the manufacturer because of defects for last 30 days are:
The mean of a standard normal probability distribution.
What are the expected value and variance of the following probability distribution?
Assume that waiting times are approximately normally distributed. Construct a 98% confidence interval for the population mean of waiting times.
Assume that each shipment contains a random sample of bearings. a. What is the probability that a given shipment is acceptable?
Decision making under risk is the same as decision making under uncertainty because in both the probabilities are unknown.
What is the conditional probability of a manager in the Division of Community Services reporting workplace sexual harassment?
Assuming no discrimination based on gender, what is the probability of getting 41 or fewer women when 100 new employees are hired?
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