The state of California has a mean annual rainfall of 22 inches, whereas the state ofNew York has a mean annual rainfall of 42 inches (Current Results website, October 27,2012). Assume that the standard deviation for both states is 4 inches. A sample of 30 yearsof rainfall for California and a sample of 45 years of rainfall for New York has been taken.a. Show the probability distribution of the sample mean annual rainfall for California

A bakery has determined that the number of loaves of its white bread demanded daily has a normal distribution with mean 7,200 loaves and standard deviation 300 loaves. Based on cost considerations, the company has decided that its best strategy is to produce a sufficient number of loaves so that it will fully supply demand on 94% of all days. a. How many loaves of bread should the company produce? b. Based on the production in part (a), on what percentage of days will the company be left with more than 500 loaves of unsold bread?

There is a normal distribution with mean 10 and standard deviation of 8.  What is the z-score of an observation equaling 15?

The joint probability distribution of two random variables, Xand Y, is given in the table below. Y=-4 Y--3 Y--1 Y-2 X--4 0.06 0.12 0.17 0.18 X--1 0.00 0.03 0.00 0.21 X-0 0.02 0.01 0.20 0.00 From the information in the table, calculate each of the following probabilities. Round your answers to two decimal places. (If necessary, consult a list of formulas.) (a) Given that Y=-3, compute the probability that X=0. Given that X2 -1, compute the probability that (b) Y2-3.

5. What is the variance of the probability distribution? A. 6.67 В. 4 C. 3.46 D. 2.58

Refer to Table 3.10.What is the joint probability of “low income” and “regular”?

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If the mean of the following probability distribution is 3.44, what is the variance?   Select one: a. 1.25 b. 9.64 c. 13.08 d. 16.52

Question Two a) The table below shows the probability distribution of the discrete random variable X. 2 3 4 5 7 P(X=x) 2p 2p 3p i. Find the value of p from the table above. Calculate the probability that at X is at least 5. Calculate the mean of the distribution. ii. 111.

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