Assume the random variable y has the continuous uniform distribution defined on the interval a to b, that is, f (y) = 1∕(b - a)a  y  b: For this problem let a ¼ 0 and b ¼ 2. (a) Find P(Y  1). (b) Find...

Assume the random variable y has the continuous uniform distribution defined on the interval a to b, that is,

f (y) = 1∕(b - a)a
 y
 b:

For this problem let a ¼ 0 and b ¼ 2.

(a) Find P(Y
 1).

(b) Find μ and σ²
for the distribution.

The binomial distribution for p = 0:2 and n = 5 is:

(a) Compute μ and σ²
for this distribution.

(b) Do these values agree with those obtained as a function of the parameter p and sample size n?