In a road-paving process, asphalt mix is delivered to the hopper of the paver by trucks that

Question:

In a road-paving process, asphalt mix is delivered to the hopper of the paver by trucks that haul the material from the batching plant. The article "Modeling of Simultaneously Continuous and Stochastic Construction Activities for Simulation" (J. of Construction Engr. and Mgmnt.,2013: 1037-1045) proposed a normal with mean value 8.46 min and standard deviation .913 min for the rv X = truck haul time.
a. What is the probability that haul time will be at least 10 min? Will exceed 10 min?
b. What is the probability that haul time will exceed 15 min?
c. What is the probability that haul time will be between 8 and 10 min?
d. What value c is such that 98% of all haul times are in the interval from 8.46 - c to 8.46 + c?
e. If four haul times are independently selected, what is the probability that at least one of them exceeds 10 min?
Distribution
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