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A car manufacturer claims that the miles per gallon (mpg) of all its midsize cars can be modeled with a normal model with N(33, 1.What proportion of...
A car manufacturer claims that the miles per gallon (mpg) of all its midsize cars can be modeled with a normal model with N(33, 1.70).
a. What proportion of cars have miles per gallon less than 31.2 [P(x ≤ 31.2 mpg)]? (2 points)
b. What proportion of cars will have miles per gallon greater than 36 [P(x ≥ 36 mpg)]? (2 points)
c. What proportion of cars will have miles per gallon less than 30 [P(x ≤ 30 mpg)]? (2 points)
d. What proportion of cars will have miles per gallon between 32 and 35 [P(32 mpg ≤ x ≤ 35 mpg)]? (2 points)
e. How many miles per gallon do the top 10% of the midsize cars have? (2 points)