Last year, the numbers of skateboards produced per day at a certain factory were normally distributed with a mean of 20,500 skateboards and a standard deviation of 55 skateboards. What % of the days last year did the factory produce 20,555 skateboards or fewer

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Presley

Mathematics

27 October, 12:19

Last year, the numbers of skateboards produced per day at a certain factory were normally distributed with a mean of 20,500 skateboards and a standard deviation of 55 skateboards. What % of the days last year did the factory produce 20,555 skateboards or fewer

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Valentino · Answer 1

Let x be a random variable representing the number of skateboards produced

a.) P (x ≤ 20,555) = P (z ≤ (20,555 - 20,500) / 55) = P (z ≤ 1) = 0.84134 = 84.1%