Afair coin is tossed three times. a player wins $1 if the first toss is a head, but loses $1 if the first toss is a tail. similarly, the player wins $2 if the second toss is a head, but loses $2 if the second toss is a tail, and wins or loses $3 according to the result of the third toss. let the random variable x be the total winnings after the three tosses (possibly a negative value if losses are incurred). (a) construct the probability mass function

There are 8 possible outcomes with corresponding winnings:

HHH  ==>  1 + 2 + 3 = 6

THH  ==>  -1 + 2 + 3 = 4

HTH  ==>  1 - 2 + 3 = 2

HHT  ==>  1 + 2 - 3 = 0

TTH  ==>  -1 - 2 + 3 = 0

THT  ==>  -1 + 2 - 3 = -2

HTT  ==>  1 - 2 - 3 = -4

TTT  ==>  -1 - 2 - 3 = -6

Then

(d)

step-by-step explanation:

given: the line in the graph passes through points (5,30) and (6,26).

then, the equation of line is:

now, put y=a(n) and x=n,

hence, option d is correct.

30

step-by-step explanation:

times by times