1) Engineers want to design seats in commercial aircraft so that they are wide enough to fit 99% of all males.(Accommodating 100% of males would require very wide seats that would be much too expensive) Men have a hip breadths that are normally distributed with a mean of 14.3 in. and a standard deviation of 1.1 in. Find P99. That is, find the hip breadth for men that separates the smallest 99% from the largest 1%. The hip breadth for men that separates the smallest 99% from the largest 1% is P99 =________in (Round to 1 decimal place as needed) 2)Assume that adults have IQ scores that are normally distributed with a mean of 100 and a standard deviation 20. Find the probability that a randomly selected adult has an IQ less than 124. The probability that a randomly selected adult has an IQ less than 124 is_______(An integer pf decimal rounded to 4 decimal places as needed)
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) Engineers want to design seats in commercial aircraft so that they are wide enough to fit 99% of all males.(Accommodating 100% of males would require very wide seats that would be much too expensive) Men have a hip breadths that are
The hip breadth for men that separates the smallest 99% from the largest 1% is P99 =________in (Round to 1 decimal place as needed)
2)Assume that adults have IQ scores that are normally distributed with a mean of 100 and a standard deviation 20. Find the
The probability that a randomly selected adult has an IQ less than 124 is_______(An integer pf decimal rounded to 4 decimal places as needed)
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