The distribution of reading scores for 5" graders has mu = deviation = 22. 92 and a standard %3D a. If samples of n = 25 are selected at random, what value for the mean would separate the top 10% of the samples? %3D b. What is the probability of selecting a sample with a Mean of 92.6 or higher if n 55? %3D c. What is the probability of selecting a sample with a mean between 90.5 and 92 if n = 67? %3D

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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!