l. A fair eoin is tossed three times. A player wins $1 if the rst toss is a head, but loses [1 -5 $1 if the rst toss is a tail. Similarly, the player wins $2 if" the sech toss is a head, +1.5 but loses $2 if the second toss is a tail, and wins or loses $3 ascording to the result of +2] the third toss. Let the random variable X be the total winnings after the three tosses [possibly a negative value if losses are inctn'red}. a) Construct the probability mass function. h} Construct the cumulative distribution function- e} 1What is the variance of this random variable