. The Boeing 727 airliner carries 200 passengers and has doors with a height of 72 inches. Heights of men are normally distributed with a mean of 68.5 inches and a standard deviation of 2.4 inches. Find the 75th percentile for the mean of 100 male passenger, inclue the exact excel command used to find this probability?
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!
1. The Boeing 727 airliner carries 200 passengers and has doors with a height of 72
inches. Heights of men are
standard deviation of 2.4 inches.
Find the 75th percentile for the mean of 100 male passenger, inclue the exact excel command used to find this probability?
Given information-
Population mean, µ = 68.5 inches
Population standard deviation, σ = 2.4 inches
Let, X be the heights of men are normally distributed.
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