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Mathematics, 18.03.2021 01:50 heyyyyy39

Suppose X is a normal random variable with mean 20 and standard deviation 4. A really bored mathematician observes the value for X and uses it

to construct a cube of dimensions lXl lXl lXl.

(a) Find the expected surface area of the cube.

(b) Find the expected volume of the cube.

(c) Using computational software, approximate the probability that the volume is more than 5 times greater than the area.

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