In: Statistics and Probability
Q2. Distance (000, miles) traveled by a truck in a year is distributed normally with μ = 50.0 and σ = 12.0.
Find
a. the proportion of trucks are expected to travel from 34.0 to 59 (000, miles)? (0.6816)
b. the probability that a randomly selected truck travels from 34.0 to 38.0 (000, miles)? (0.0669)
c. the %age of trucks that are expected to travel either below 30.0 or above 59.0 (000 miles) ? (27.41)
d. how many of the 1000 trucks in the fleet are expected to travel from 30.0 to 59.0 (000 miles)? (726)
e. how many miles will be traveled by at least 80% of the trucks? (40, 000 miles)