In a large? city, 6565?% of people pass the? drivers\' road test. Suppose that e

Question

In a large? city, 6565?% of people pass the? drivers' road test. Suppose that every? day, 300300 people independently take the test. Complete parts? (a) through? (d) below. a. What is the number of people who are expected to? pass? The expected number is 195195. ?(Round to the nearest whole number as? needed.) b. What is the standard deviation for the number expected to? pass? The standard deviation is 88. ?(Round to the nearest whole number as? needed.) c. After a great many? days, according to the Empirical? Rule, on about? 95% of these? days, the number of people passing will be as low as? _____ and as high as? _____. (Hint: Find two standard deviations below and two standard deviations above the? mean.) After a great many? days, according to the Empirical? Rule, on about? 95% of these? days, the number of people passing will be as low as nothing and as high as nothing. ?(Round to the nearest whole number as? needed.) d. If you found that one? day, 232232 out of 300300 passed the? test, would you consider this to be a very highhigh ?number? ? No, Yes, because 232232 is ? less than 1 standard deviation between 1 and 2 standard deviations between 2 and 3 standard deviations more than 3 standard deviations aboveabove the mean.

Explanation / Answer

c) Range of 2 standard deviations:

(195 - 2*8) to (195 + 2*8)

179 to 211

d) Yes, more than 2 standard deviations

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