A survey was conducted to measure the height of Canadian men. In the survey, respondents were grouped by age. In the 20-29 age group, the height was normally distributed, with a mean of 69.2 inches and a standard deviation of 2.9 inches. A study participant is randomly selected. a) Find the probability that his height is less than 66 inches. b) Find the probability that his height is between 66 and 72 inches. c) Find the probability that his height is more than 72 inches. d) Find P10 , the 10th percentile please show all steps using excel formulas
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 survey was conducted to measure the height of Canadian men.
In the survey, respondents were grouped by age. In the 20-29 age group, the height was
a) Find the
b) Find the probability that his height is between 66 and 72 inches.
c) Find the probability that his height is more than 72 inches.
d) Find P10 , the 10th percentile
please show all steps using excel formulas
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