Q2. Distance (000, miles) traveled by a truck in a year is distributed normally with μ...

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Q2. Distance (000, miles) traveled by a truck in a year isdistributed normally with μ = 50.0 and σ = 12.0.

       Find

a. the proportion of trucks areexpected to travel from 34.0 to 59 (000, miles)? (0.6816)

b. the probability that a randomlyselected truck travels from 34.0 to 38.0 (000, miles)? (0.0669)

c. the %age of trucks that areexpected to travel either below 30.0 or above 59.0 (000 miles) ?(27.41)

d. how many of the 1000 trucks in thefleet are expected to travel from 30.0 to 59.0 (000 miles)?(726)

e. how many miles will be traveled byat least 80% of the trucks? (40, 000 miles)

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