Example : Given grouped frequency distribution of Serum cholesterol levels in normal men aged 40-59 Serum chol.(mg/100ml Frequency 1- A person was selected at random from group 119.5-139.5 10 139.5-159.5 21 of 1047 what would be the probability that his 159.5-179.5 37 179.5-199.5 97 serum was in range of160-179mg/100ml 199.5-219.5 152 219.5-239.5 206 2-What is the probability that a person selected 239.5-259.5 195 259.5-279.5 131 randomly would have a cholesterol level lower 279.5-299.5 96 than 160mg/100ml or 340 mg/100ml or greater. 299.5-319.5 47 319.5-339.5 30 339.5- 359.5 13 359.5-379.5 6. 379.5-399.5
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!
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