The replacement times for DVD players are normally distributed with a mean of 7.1 years and a standard deviation of 1.5 years (data from Consumer Reports). What is the probability that a randomly selected DVD player will be replaced in less than 5 years?     In a city, it is estimated that the maximum temperature in June is normally distributed with a mean of 23º and a standard deviation of 5°. Calculate the probability of having a maximum temperature between 20° and 28°.

Every time you drive you will experience a combination of driving conditions and environments.

Find the solution of this system of equation -7x+y=-20 9x-3y=36

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.)