Assume that you have 12 well plates available for culturing cells. At the 24 hour mark, you collect an image from 7 of the wells, count the number of subregions in the image that are populated with cells and determine you have a mean of 143.25 subregions and a standard deviation of 42.85 subregions. There are problems with the image archival that prevent collection from all wells. At the 48 hour mark, you repeat the procedure and determine you have a mean of 219.5 subregions and a standard deviation of 53.57 subregions from 8 of the wells. What is the standard normal deviate for the difference in the populations from day 1 to day 2? -25.316

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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!