10. The random variable X, representing the number of chocolate chips in a cookie, has the following probability distribution: 2 3 0.01 0.25 6 P(X = x) 4 0.4 5 0.3 0.04 Find the mean, variance and standard deviation of x.

The state of California has a mean annual rainfall of 19 inches, whereas the state of New York has a mean annual rainfall of 48 inches (Current Results website, October 27, 2012). Assume that the standard deviation for both states is 4 inches. A sample of 30 years of 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. This is a normal probability distribution with and (to decimals). b. What is the probability that the sample mean is within inch of the population mean for California? (to decimals) c. What is the probability that the sample mean is within inch of the population mean for New York? (to decimals) d. In which case, part (b) or part (c), is the probability of obtaining a sample mean within inch of the population mean greater? Why? The probability of being within inch is greater because the sample size is .

Find the mean and variance for the binomial distribution P=0.33 and n=26

When parking a car in a downtown parking lot, drivers pay according to the number of hours or fraction thereof. The probability distribution of the number of hours cars are parked has been estimated as follows: X 12 3 4 5 6 7 8 P(X) 0.23 0.149 0.13 0.08 0.057 0.022 0.026 0.306 A. Mean = B. Standard Deviation = The cost of parking is 2.5 dollars per hour. Calculate the mean and standard deviation of the amount of revenue each car generates. A. Mean = B. Standard Deviation =