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DedPeter [7]
3 years ago
6

(10 POINTS) answer ASAP if you can

Mathematics
1 answer:
erma4kov [3.2K]3 years ago
5 0

Answer:

D

Step-by-step explanation:

Because it's 340 meters per second

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Staci has seven more cats than Taylor. Write an expression that illustrates how many cats Staci has. Use X to represent the numb
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x + 7

Step-by-step explanation:

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2 years ago
Best of three In a best out of three series played between teams A and B, the team that gets two wins first wins the entire seri
konstantin123 [22]

Answer:

a) P (x = 2 games )  =  0.49 + 0.09 = 0.58

    P ( x = 3 games ) = 0.063 + 0.147 + 0.147 + 0.063 = 0.42

b) = 2.42 ≈ 2 games

c) P (x = 2 games )  =  0.49 + 0.09 = 0.58

Step-by-step explanation:

Team A chance of winning a game in the series. P( team A ) = 70% = 0.7

P ( team B ) = 0.3

probability of series ending after two games = 58% = 0.58

<u>A) Determine the probability distribution of X number of games played in the series</u>

First we have to consider the possible combinations that will decide the series and they are

( A,A ) , ( B,B) , ( A,B,B) , ( A,B,A ) , ( B,A,A ), ( B,A,B)  = 6 Combinations

( A,A ) = 0.7 * 0.7 = 0.49

( B,B ) = 0.3 * 0.3 = 0.09

( A,B,B ) = 0.7 * 0.3 *0.3 = 0.063

( A,B,A ) = 0.147

( B,A,A ) = 0.147

( B,A,B ) = 0.063

The distribution of the games in the series can be either game or three games before the end of the series

P (x = 2 games )  =  0.49 + 0.09 = 0.58

P ( x = 3 games ) = 0.063 + 0.147 + 0.147 + 0.063 = 0.42

<u>B) the expected number of games to be played </u>

∑ x(Px) = ( 2 * 0.58 ) + 3 ( 0.42 ) = 2.42 ≈ 2 games

<u>C)  Verify that the probability that series ends after two games = 58%</u>

sample space of all possible sequences of wins and losses

( A,A ) , ( B,B) , ( A,B,B) , ( A,B,A ) , ( B,A,A ), ( B,A,B)  = 6 Combinations

( A,A ) = 0.7 * 0.7 = 0.49

( B,B ) = 0.3 * 0.3 = 0.09

( A,B,B ) = 0.7 * 0.3 *0.3 = 0.063

( A,B,A ) = 0.147

( B,A,A ) = 0.147

( B,A,B ) = 0.063

hence :

P (x = 2 games )  =  0.49 + 0.09 = 0.58

6 0
2 years ago
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