15.
A new car that is a gas- and electric-powered hybrid has
recently hit the market. The distance travelled on 1 gallon of fuel
is normally distributed with a mean of 65 miles and a standard
deviation of 5 miles. Find the probability of the following
events:
Be sure to use at least 4 decimals of accuracy in your
answers.,
A. The car travels more than 71 miles per gallon.
Probability =
B. The car travels less than 61 miles per gallon.
Probability =
C. The car travels between 58 and 68 miles per gallon.
Probability =
16.
Assume Z is a standard normal random variable.
(a) Find the Z score such that the area under the standard
normal curve to the left of Z is 0.5
z =
(b) Find the Z score such that the area under the standard
normal curve to the left of Z is 0.9826
z =
(c) Find the Z score such that the area under the standard
normal curve to the right of Z is 0.1423
z =
(d) Find the Z score such that the area under the standard
normal curve to the right of Z is 0.9394
z =
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