5. Dan grows peaches and his peach yield is dependent on winter temperatures. When the winter
is mild, the distribution of his peach yield
is approximately normal with a mean of 35 tons and
standard deviation of 6 tons. When the winter is cold,
the distribution of his peach yield is
approximately normal with a mean of
42 tons and standard deviation of 4 tons. According to
the weather forecast, there is a 0.8 chance that
this winter will be cold. Which of the following
is closest to the probability that Dan's
peach yield will be greater than 40 tons?
(A) 0.7967
(B) 0.8948
(C) 0.4061
(D) 0.6915
(E) 0.5939