Hugo averages 64 words per minute on a typing test with a standard deviation of 15 words per minute. Suppose Hugo's words per minute on a typing test are normally distributed. Let X= the number of words per minute on a typing test. Then, X∼N(64,15). Suppose Hugo types 63 words per minute in a typing test on Wednesday. The z-score when x=63 is ________. This z-score tells you that x=63 is ________ standard deviations to the ________ (right/left) of the mean, ________. Suppose Hugo types 63 words per minute in a typing test on Wednesday. The z-score when x=63 is 0.056. This z-score tells you that x=63 is 0.056 standard deviations to the right of the mean, 64. Suppose Hugo types 63 words per
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!
Hugo averages 64 words per minute on a typing test with a standard deviation of 15 words per minute. Suppose Hugo's words per minute on a typing test are
Suppose Hugo types 63 words per minute in a typing test on Wednesday. The z-score when x=63 is ________. This z-score tells you that x=63 is ________ standard deviations to the ________ (right/left) of the
Suppose Hugo types 63 words per minute in a typing test on Wednesday. The z-score when x=63 is 0.056. This z-score tells you that x=63 is 0.056 standard deviations to the right of the mean, 64.
Suppose Hugo types 63 words per minute in a typing test on Wednesday. The z-score when x=63 is 0.067. This z-score tells you that x=63 is 0.067 standard deviations to the right of the mean, 64.
Suppose Hugo types 63 words per minute in a typing test on Wednesday. The z-score when x=63 is −0.067. This z-score tells you that x=63 is 0.067 standard deviations to the left of the mean, 64.
Suppose Hugo types 63 words per minute in a typing test on Wednesday. The z-score when x=63 is −0.056. This z-score tells you that x=63 is 0.056 standard deviations to the left of the mean, 64.
Given ,
X∼N(64,15).
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