54.4k views
0 votes
greg scored more baskets than micheal in 2 of 9 games. how many games should greg be expected to score more baskets thsn micheal in the next 72 games

User Ezekg
by
7.9k points

1 Answer

5 votes
Since Greg scored more baskets than Michael in 2 out of 9 games, we can say that the probability of Greg scoring more baskets is 2/9, and the probability of Michael scoring more baskets is 7/9.

If we assume that the probability of Greg scoring more baskets than Michael is constant for each game, then we can model the number of games in which Greg scores more baskets than Michael in the next 72 games with a binomial distribution with n = 72 and p = 2/9.

The expected value of a binomial distribution with parameters n and p is given by:

E(X) = n * p

So, the expected number of games in which Greg scores more baskets than Michael in the next 72 games is:

E(X) = 72 * (2/9)
E(X) = 16

ANSWER
Therefore, we can expect Greg to score more baskets than Michael in approximately 16 of the next 72 games.
User Mportes
by
8.0k points