Question

3. A legendary football coach was known for his
winning seasons. Over the years, this coach established a
probability distribution for the number of games his teams win
in the first six games of the football season. It is shown to the
right. Find the expected number of games this coach’s team
would be expected to win out of the first 6 games.

Number of games won in the first half of the season	Probability
0	0.004
1	0.037
2	0.138
3	0.276
4	0.311
5	0.187
6	0.047

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Answer 1

Given the probability of 00.0f games win in the Fixst six games of the foot ball season a No.of games games won.in first half of Season probability on mino 0:004 i 0:0 37 0.138 0.276 - 0.31 0.187 0.047 we know expected value, EC) = { a plx=x;) = 0(0.004) + 110.037) +260.13847360.276) + 400.311) + 560.187) +6C0-Ouz) = 0.037 + 0.276 +0.828+1.244 +0.935 +0.282 . = 3.602 i 4 So, the expected no.of game's win. out of first sist games is ei