Question

Last year, the number of skateboards produced by a skateboard company is normally distributed. The standard deviation of skateboards produced was 20 skateboards. They found they produced up to 280 skateboards on 93.32% of the days last year. Use this information to find the average number of skateboards produced per day last year.

Answer 1

The average number of skateboards produced per day last year is 310.

What is a normal distribution?

It's the probability curve of a continuous distribution that's most likely symmetric around the mean. On the Z curve, at Z=0, the chance is 50-50. A bell-shaped curve is another name for it.

We have:

The standard deviation of skateboards produced was 20 skateboards. They found they produced up to 280 skateboards on 93.32% of the days last year.

Z- score at 93.32% is -1.5

We know:

$\rm Z = \dfrac{(x - \mu)}{\sigma}$

$\rm -1.5 = \dfrac{(280 - \mu)}{20}$

μ = 280 + 30

μ = 310

Thus, the average number of skateboards produced per day last year is 310.

Learn more about the normal distribution here:

brainly.com/question/12421652

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