Step-by-step explanation:
P(X=1) = P(first heads and second tails) +P(first tails and second heads)
=P(first heads)×P(second tails) + P(first tails) ×P(second heads)
because events are independent P(A∩B) = P(A) ×P(B)
= 0.6 ×0.3 + 0.4 ×0.7
= 0.46
P(X=0) = P(first tails and second tails)
= 0.4 ×0.3
=0.12
P(X=2) = P(first heads and second heads)
= 0.6 ×0.7
= 0.42
Mean E(X) = 0 ×0.12 + 1 × 0.46 + 2 ×0 0.42
=1.3 ( Because mean is ratio it can can be greater than 1 )
