A fuel pump at a gasoline station doesn't always dispense the exact amount displayed on the meter. When the meter reads 1.000
L
1.000 L1, point, 000, start text, space, L, end text, the amount of fuel a certain pump dispenses is normally distributed with a mean of
1
L
1 L1, start text, space, L, end text and standard deviation of
0.05
L
0.05 L0, point, 05, start text, space, L, end text. Let
X
=
X=X, equals the amount dispensed in a random trial when the meter reads
1.000
L
1.000 L1, point, 000, start text, space, L, end text.

Driving 75 mph, it takes alicia 2 hours to reach the airport to go on a vacation. it then takes her 4 hours to get to her destination with the jet traveling at a speed of 400 mph. how many miles does alicia travel to get to her destination?

Asales representative from a local radio station is trying to convince the owner of a small fitness club to advertise on her station. the representative says that if the owner begins advertising on the station today, the club's total number of members will grow exponentially each month. she uses the given expression to model the number of club members, in hundreds, after advertising for t months.

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.)