A common design requirement is that an environment must fit the range of people who fall between the 5th percentile for women and the 95th percentile for men. In designing an assembly work table, the sitting knee height must be considered, which is the distance from the bottom of the feet to the top of the knee. Males have sitting knee heights that are normally distributed with a mean of 21.3 in. and a standard deviation of 1.1 in. Females have sitting knee heights that are normally distributed with a mean of 19.2 in. and a standard deviation of 1.0 in. What is the minimum table clearance required to satisfy the requirement of fitting 95% of men? The author is writing this exercise at a table with a clearance of 23.3 in. above the floor. What percentage of men fit this table? What percentage of women fit this table?
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 common design requirement is that an environment must fit the
women and the 95th percentile for men. In designing an assembly work table, the sitting knee height must be considered, which is the distance from the bottom of the feet to the top of the knee. Males have sitting knee heights that are
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 5 images
