Question: The length of a leaf on a tree is a random variable with probability density function defined by a. What is the expected leaf length?

The length of a leaf on a tree is a random variable with probability density function defined by

3 f(x) = 32 (4x - x) (4xx) for x in [0,

a. What is the expected leaf length?

b. Find σ for this distribution.

c. Find the probability that the length of a given leaf is within 1 standard deviation of the expected value.

3 f(x) = 32 (4x - x) (4xx) for x in [0, 4].

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