T6.13. Ed and Adelaide attend the same high school, but are in different math classes. The time E that it takes Ed to do his math homework follows a Normal distribution with mean 25 minutes and standard deviation 5 minutes. Adelaide's math homework time A follows a Normal dis- tribution with mean 50 minutes and standard deviation 10 minutes. (a) Randomly select one math assignment of Ed's and one math assignment of Adelaide's. Let the random variable D be the difference in the amount of time each student spent on their assignments: D = A – E. Find the mean and the standard deviation of D. Show your work. (b) Find the probability that Ed spent longer on his assign- ment than Adelaide did on hers. Show your %3D -

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T6.13. Ed and Adelaide attend the same high school, but
are in different math classes. The time E that it takes Ed
to do his math homework follows a Normal distribution
with mean 25 minutes and standard deviation 5 minutes.
Adelaide's math homework time A follows a Normal dis-
tribution with mean 50 minutes and standard deviation
10 minutes.
(a) Randomly select one math assignment of Ed's and one
math assignment of Adelaide's. Let the random variable D
be the difference in the amount of time each student spent
on their assignments: D = A – E. Find the mean and the
standard deviation of D. Show your work.
(b) Find the probability that Ed spent longer on his assign-
ment than Adelaide did on hers. Show your
%3D
-
Transcribed Image Text:T6.13. Ed and Adelaide attend the same high school, but are in different math classes. The time E that it takes Ed to do his math homework follows a Normal distribution with mean 25 minutes and standard deviation 5 minutes. Adelaide's math homework time A follows a Normal dis- tribution with mean 50 minutes and standard deviation 10 minutes. (a) Randomly select one math assignment of Ed's and one math assignment of Adelaide's. Let the random variable D be the difference in the amount of time each student spent on their assignments: D = A – E. Find the mean and the standard deviation of D. Show your work. (b) Find the probability that Ed spent longer on his assign- ment than Adelaide did on hers. Show your %3D -
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