n order to ride the Death Trap at the amusement park, guidelines say that participants must be between 60 and 74 inches tall. Given that the mean height of women is 64.00 inches with a standard deviation of 1.77 inches and the mean height of men is 69.50 inches with a standard deviation of 1.50 inches,answer the following. Assume that the heights of men and women are normally distributed.a)Draw the distribution in question.b)What is the probability that a woman will be too short to ride?c)What is the probability a man will be too tall to ride?d)What is the probability that a man will be able to ride? Interpret.e)What height for a man would be unusually short?f)What height for a woman would be unusually short?
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!
n order to ride the Death Trap at the amusement park, guidelines say that participants must be between 60 and 74 inches tall. Given that the
only answer subparts D,E,F,G,H
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