Q.1. A modified version of the game of Yahtzee has been developed and consistsof throwing three…

Q.1. A modified version of the game of Yahtzee has been developed and consistsof throwing three dice once. The points associated with the possible results are asfollows:

Result Points
Threeofakind 500
Apair 100
Alldifferent 50

a) Findtheprobabilitydistribution of thenumber ofpoints.

b) Findtheexpectedvalueofthenumberof points.

Findthestandard deviation ofthe number ofpoints

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