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makaylasulak5462
16.12.2021 •
Mathematics
There are two trails near Leo's house that he runs regularly, a short loop and a long loop.
Last week, he ran 6 short loops and 5 long loops, for a total of 75 kilometers. This week, he
ran 4 short loops and 4 long loops, covering a total of 56 kilometers. What is the length of
each loop?
kilometers, and the long loop has a length of
The short loop has a length of
kilometers.
Solved
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Ответ:
E[X] = 1.2
E[X2] = 1.74
Step-by-step explanation:
If X is the number of games shankar wins, the sample space for X is [0,1,2], as he can win none, on or the two games.
Let:
Pw1: probability of winning the first game
Pw2: probability of winning the second game
The probability of winning none of the games (X=0) is:
The probability of winning only one of the games (X=1) is:
The probability of winning both games (X=2) is:
The expected value E(X) is:
The expected value of the square of X, E(X^2) can be calculated as: