In any year, the weather can inflict storm damage to a home. from year to year, the damage is random. let y denote the dollar value of damage in any given year: suppose that in 95% of the years y = $0, but in 5% of the years y = $2.
a. what is the mean and the standard deviation of the damage to a home in any given year?
b. consider an "insurance pool" of 100 people whose homes are sufficiently dispersed so that, in any given year, the damage to different homes are viewed as independently distributed random variables. let y denote the average damage to these 100 homes in a year. (i) what is the expected value of the average damage y ? (ii) what is the probability that y exceeds $2000?

Ineed to know the answer to this algebra question.

Afriend of mine is giving a dinner party. his current wine supply includes 10 bottles of zinfandel, 8 of merlot, and 11 of cabernet (he only drinks red wine), all from different wineries. (a) if he wants to serve 3 bottles of zinfandel and serving order is important, how many ways are there to do this? ways (b) if 6 bottles of wine are to be randomly selected from the 29 for serving, how many ways are there to do this? ways (c) if 6 bottles are randomly selected, how many ways are there to obtain two bottles of each variety? ways (d) if 6 bottles are randomly selected, what is the probability that this results in two bottles of each variety being chosen? (round your answer to three decimal places.) (e) if 6 bottles are randomly selected, what is the probability that all of them are the same variety? (round your answer to three decimal places.)

Which of the following is best modeled using a linear equation y=ax+b, where a is less than 0?