in the nfl the mean weight of linemen is 290lb. the standard deviation is 24lb. you may presume that the weights are normally distributed. find the percentage of linemen who weight. over 291lb between 266 and 314 lb under 326 lb. over 400 lb. find the 80th percentile.
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!
in the nfl the mean weight of linemen is 290lb. the standard deviation is 24lb. you may presume that the weights are
- over 291lb
- between 266 and 314 lb
- under 326 lb.
- over 400 lb.
- find the 80th percentile.
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