Let Y be a random variable with p.d.f. ce?5y
for y ? 0.
(a) Determine c.
(b) What is the mean, variance, and squared coefficient of
variation of Y where the squared coefficient
of variation of Y is defined to Var(Y )/(E[Y ])2
)?(c) Compute Pr{Y > 8}.
(d) Compute Pr{Y > 8 | Y > 3}.
(e) What is the 0.7 quantile (or 70th percentile) where the 0.7
quantile is the point q such that
Pr{Y > q} = 0.7?