A manufacturer knows that their items have a normally distributed lifespan, with a mean of 13.6 years, and standard deviation of 0.5 years. If 22 items are picked at random, 5% of the time their mean life will be less than how many years?

80π/3 or about 83.775

step-by-step explanation:

since a cone is 1/3 of a cylinder, we need to find the base's area. since area = πr^2, we get 16π. then, multiplying this by 5, we get 80π. dividing by 3, since the cone's volume is 1/3 of that of a cylinder's, we get 80π/3.

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