Suppose X is a continuous random variable with density
function
f(x) = 3/4 (1 − x^2) if − 1 ≤ x ≤ 1
0 otherwise
(a) Compute E(X).
(b) Plot the density function showing the location of E(X). Does
it reflect the typical value of X?
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Suppose X is a continuous random variable with density
function
f(x) = 3/4 (1 − x^2) if − 1 ≤ x ≤ 1
0 otherwise
(a) Compute E(X).
(b) Plot the density function showing the location of E(X). Does
it reflect the typical value of X?