# You work in marketing for a company that produces work boots

August 31, 2017

Question
You work in marketing for a company that produces work boots. Quality control has sent you a memo detailing the length of time before the boots wear out under heavy use. They find that the boots wear out in an average of 208 days, but the exact amount of time varies, following a normal distribution with a standard deviation of 14 days. For an upcoming ad campaign, you need to know the percent of the pairs that last longer than six months-that is, 180 days. Use the empirical rule to approximate this percent. (please chose from the following)

95%

2.5%

97.5%

5%

a continuous random variable has the uniform distribution on the interval [a,b] if its probability density function f(x) is—— (please answer from the following)
is symmetric around its mean

asymptotically approaches the x axis when x increases to +? or decreases to -?

is bell-shaped between a and b

is constant for all x between a and b, and 0 otherwise

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