A truck company decides that every year, the distance traveled for the truck usually distributed normally with average traveled 50.0 thousands miles and the standart deviation os 12.0 thousands miles Questions A. How many of the 1,000 trucks in the fleet are expected to cover between 30.0 and 60.0 thousand miles this year B. How many miles will at least 80% of the trucks travel C. How many of the 1,000 trucks in the fleet are expected to cover between 30.0 and 60.0 thousand miles this year, if the standart deviation is changed to 10 thousands miles
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
A truck company decides that every year, the distance traveled for the truck usually distributed normally with average traveled 50.0 thousands miles and the standart deviation os 12.0 thousands miles
Questions
A. How many of the 1,000 trucks in the fleet are expected to cover between 30.0 and 60.0 thousand miles this year
B. How many miles will at least 80% of the trucks travel
C. How many of the 1,000 trucks in the fleet are expected to cover between 30.0 and 60.0 thousand miles this year, if the standart deviation is changed to 10 thousands miles
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