Kyle and Lygia are going to play a series of Trivial Pursuit games. The first person to

Question:

Kyle and Lygia are going to play a series of Trivial Pursuit games. The first person to win four games will be declared the winner. Suppose that outcomes of successive games are independent and that the probability of Lygia winning any particular game is 0.6. Define a random variable x as the number of games played in the series.

a. What is p(4)? Either Kyle or Lygia could win four straight games.

b. What is p(5)? For Lygia to win in exactly five games, what has to happen in the first four games and in Game 5?

c. Determine the probability distribution of x.

d. On average, how many games will the series last?

Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...

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