The testing times for a group of college students were normally distributed with a mean of u = 32 minutes and a standard deviation of o = 2.2 minutes. The bell curve below represents the distribution for testing times. The scale on the horizontal axis is equal to the standard deviation. Fill in the indicated boxes. u-20 H+o H+20 µ H- 30 H-0 Used the Empirical Rule to complete the following statements: 68% of testing times were between minutes and minutes. 95% of testing times were between minutes and minutes. 99.7% of testing times were between minutes and minutes. 50% of testing times were below minutes.
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!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 4 images
