Find the expected value of the experiment “tossing 3 coins simultaneously” when random variable x can take value
x=0, when exactly one head appear
x =1, when exactly two head appear
x=2, when exactly three head appear
x=3, when no head appear

Options

A. 2
B. 1.5
C. 1
D. 1.1

Answer

C

Explanation

`because P(x=0)=(3)/(8), P(x=1)=(3)/(8)`
`P(x=2)=(1)/(8)" "P(x=3)=(1)/(8)`
`therefore E(x)=0*(3)/(8)+1xx(3)/(8)+2xx(1)/(8)+3xx(1)/(8)=(8)/(8)=1`.