For problem choose what type of problem it is and solve using the binomial, geometric, or Poisson distribution.

A player of a video game is confronted with a series of opponents and has an 80% probability of defeating each one. Success with any opponent is independent of previous encounters. The player continues to confront opponents until defeated.

a) what is the probability mass function of the number of opponents confronted in a game?

b) what is the probability that a player defeats at least two opponents in a game?

c) what is the expected number of opponents confronted in a game?

d) what is the probability that a player confronts four or more opponents in a game?

e) what is the expected number of game plays until a player confronts four or more opponents in one sitting?

1) Two athletic teams play a series of games; the first team to win 4 games is declared the overall winner. Suppose that one of the teams is stronger than the other and wins each game with probability 0.6, independant of the outcomes of the other games. Find the probability that the stronger team wins the series in exactly i gam

Consider a seven-game world series between team A and B, where for each game
P(A wins)=0.6
a) Find P(A wins series in x game)
b) You hold a ticket for the seventh game. What is the probability that you will get to use it? .answer 0.2765
c) if P(A wins a game)=p, what value of p maximizes your chance in b)?answer p=1/2

Bob Jones of the Alaskan Bears baseball club had the highest batting average in the 2000 Major League Baseball season. His average was .335. So assume the probability of getting a hit is .335 for each time he batted. In a particular game assume he batted three times.
a. This is an example of what type of probability?
b. Wh

1. A particular spell has a .18 (i.e. 18%) chance to do critical damage. What is the probability that a spell can be cast 10 times in a row without doing critical damage?
A) .137 B) .820 C) .862 D) <.001
2. What is the probability of the sum of two dice equaling an odd number?
A) .50 B) .38 C) .25 D) .61
3. A coin

Please calculate the probability distribution and answer questions a and b
At the end of a basketball game, a team is down by 1 point. As the last play, a player from that team throws a three-point shot that misses, but the player is fouled and he gets to take 3 free throws (each worth 1 point) to end the game. On any given f

Need some help writing a paper...on how the below game should be set up, played and solved...
a consumer decide whether to buy life insurance or not. To keep the game relatively simple, assume the life insurance being considered is term life, i.e. insurance without an accumulating investment value.
Keep in mind that your p

Suppose that during a football game, lemonade sells for $15 per gallon but only costs $4 per gallon to make. If they run out of lemonade during the game, it will be impossible to get more. On the other hand, leftover lemonade has a negligible value. Assume that you believe the fans would buy 10 gallons with probability 3/10, 11

1. Suppose that two teams play a series of games that ends when one of the teams has one i number of games. Suppose that each game played is, independently, won by team A with probability p. Find the expected number of games that are played when (a) i = 2 and when (b) i = 3. Show also in both cases that this number is maximized