Person1, Person2, and Person3 all play on the Lacrosse Team and have an upcoming game. If...

Person1, Person2, and Person3 all play on the Lacrosse Team and have an upcoming game. If none of them play in the game, their team will win by 5 points. If exactly one of person1, person2, or person3 plays, their team will win by 6 points, if exactly two of them play, their team will win by 7 points, and if all three play, their team will win by 8 points.

The probability that person1 plays is 3/10, as is the probability that person2 plays and the probability that person3 plays. The probability that person1 plays if person3 plays is 1/2. The probability that person2 plays if person3 plays is 1/3. The probability that person2 plays if person1 plays is 4/10. The probability all three play is 1/20.

Find the expected value, variance, and standard deviation of the number of points they will win by.

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Expert Solution

orchestra answered 1 year ago

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