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1. Data indicate that the number of traf?c accidents in Berkeley on a rainy day is a Poisson random variable with mean 9, whereas on a dry day it is a Poisson random variable with mean 3. Let X denote the number of traf?c accidents tomorrow. If it will rain tomorrow with probability 0.6, ?nd
(a) E[X];
(b) P{X = 0};
(c) Var(X).
2. The number of storms in the upcoming rainy season is Poisson distributed but with a parameter value that is uniformly distributed over (0, 5). That is, A is uniformly distributed over (0, 5), and given that A = λ, the number of storms is Poisson with mean λ. Find the probability there are at least three storms this season.
To estimate the mean of the population from sample information, we need to calculate the standard deviation of the distribution of the sample means around the population mean.
Find out and interpret coefficients of correlation and determination for U. S. prices versus Canadian prices.
the size of fish in a lake follows a normal distribution with mean m 1 lb 4 oz and standard deviation s 3 oz . fish
Cards are drawn one by one from a standard deck of 52 cards. Let X be the number of draws up to and including when the first diamond is drawn. If the cards are replaced in the deck, determine E(X). If the cards are not replaced in the deck, determ..
A store manager wishes to find out whether there is a relationship between the age of her employees and the number of sick days they take each year. The data for the sample are shown below:
Question 1: Data on the city from which members of a board of directors come represent interval data.
By using the normal distribution to approximate the desired probability.
What are some real life examples of the use of Chi-Square tests using contingency tables? Why is a test, which is testing significant differences among means called Analysis of Variance?
a purchaser of electrical components buys several lots where each lot comes in a bundle of 6 distinct components. it is
How many bulbs should be tested so that we can be 90% confident that the estimate of the mean will not differ from the true mean life by more than 10 hours?
suppose test scores for a test are uniformly distributed between 51 and 95. let xtest scores. what is the probability a
How much net revenue does the state expect, on average from each ticket? What is the risk preference of people who play this lottery?
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