(Solved): Consider a weighted coin flip where heads occurs with probability \( 0.8 \) and tails with probabil ...

Consider a weighted coin flip where heads occurs with probability \( 0.8 \) and tails with probability \( 0.2 \). Let the event of heads be defined as 1 and the event of tails be defined as \( 0 . \) \( (0.8 \times 1)+(0.2 \times 0) \) (a) (3 points) What is the expected value? \( 0.8+0=0.8 \) (b) (3 points) What is the variance? (c) (2 point) What is the standard deviation? (d) (2 points) Do we know what outcome (i.e., heads or tails) will occur? Whyor why not?