Five hundred children participated in a field demonstration. Their heights averaged 110 cm with a standard deviation of 6 cm. 4. What is the probability that a child, picked at random, has a height greater than 116 cm? а. b. What is the probability that the height of a child, picked at random, is less than 104 cm? с. How many children belong to the upper 15% of the groun?
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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