1. Based on data collected from production processes, Crosstiles, Inc. determines that the breaking strength of the most popular porcelain tile is normally distributed with a mean of 300 pounds per square inch and a standard deviation of 11.5 pounds per square inch. About what percent of its popular porcelain tile will have breaking strengths greater than 320 pounds per square inch? b. Describe the breaking strength of the strongest 5% of its popular porcelain tile. c. About what percent of Crosstile's popular porcelain tile will have breaking points between 285 and 330 pounds per square inch?
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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