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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.
Suppose X is a random variable with mean u and variance sigma2, Calculate the mean vector and variance matrix of the random vector Y = (X,2+3X)?
What is the probability that a randomly chosen eight-week old baby smiles between 2 and 18 seconds?
The estimated age-adjusted percent of persons 18 years of age and over who smoke cigarettes are shown below for females and males for selected years.
A nutritionist wants to estimate the mean amount of cholesterol in a certain variety of chicken eggs. She wants to be within 14 mg. with 99% confidence.
In a randomly controlled trial conducted with children suffering from croup, 46 randomly selected children were treated with ow humidity while another group of randomly selected children were treated with high humidity.
Computing probability values using normal distribution - Find the proportion of the observations will fall in the interval from 40 to 60?
Construct a 95% confidence interval for the difference in the proportions of women and men who have regular exercise programs.
What is the arithmetic mean selling price?
Let x1, ..., xn be a random sample from an exponential distribution, X ~ EXP(theta) a) If x(bar) = 17.9 with n = 50, then find a one-sided lower 95% confidence limit for theta.
Make a relative frequency histogram by using ten-point intervals to show the distribution of the scores.
Compute the mean, median and mode measures of central tendency for the number of years of work experience. Which measure does the best job of describing central tendency for this variable?
The amount of money requested on a home loan application at federal savings follow the normal distribution, with a mean of $270,000 and a standard deviation of $35,000. A loan applicatiom is received this morning. What is the probability:
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