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1. The number of customers arriving at a restaurant is Poisson distributed with a mean of 15 per hour. The amount that each customer spends is exponentially distributed with an average of 20. The restaurant is open 16 hours each day and the daily expenses are 4500. Using a normal approximation, estimate the probability that on a given day, revenue will cover expenses.
2. Suppose that N is a continuous mixture of Poisson distributions where the mean is itself a random variable. Find P(N = 0) in each of the following cases.
(a) The mean is uniformly distributed on the interval [1, 3].
(b) The mean has a Gamma (2, 3) distribution.
A recent study conducted by the government attempts to determine proportion of people who support further increase in cigarette taxes. State the null and alternative hypotheses and compute the p-value
Find the point on the line y = 3x + 3 that is closest to the origin. (Give your answers correct to three decimal places.)
Thirty-eight percent of hospital admissions for diabetic patients are related to problems with the kidneys. In a sample of 10 diabetic hospital admissions, calculate the mean and standard deviation of diabetic patients with kidney problems.
Probability for rolling a pair of dices, You are rolling a pair of dices, one red and one green. What is the probability of the following outcome?
question a square and a rectangle have the same area of 36cm2. what is thelength of the side of the square? if the
Application of the Binomial Distribution to an Aircraft. Suppose you are flying a four-engine aircraft on a 10-hour transoceanic flight. Assume that it has been established that the probability of an engine of the type you have on your aircraft fa..
About 35.9% of all charitable contributions are made to religious organizations. In 2003, about $86.4 billion was given to religious organizaions. How much was given to charities in general, given the aforementioned data?
differential equations1 compute y and y and then combine these derivatives with y as a linear second-order differential
Compute the average permanence time of packet B in the buffer
Calculate the number of bridge hands which contain and calculate the probability of being dealt each of the hands in parts (a), (b), and (c). Give your answers to 5 decimal places.
a high school basketball court is 34 feet longer than it is wide. If the perimeter of the court is 268 what are the dimensions of the court.
what's the formula for finding the surface area of the cylinder.
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