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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)

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