Question

Two fair dice are thrown then all the dice are withdrawn which showed 5 or 6....

Two fair dice are thrown then all the dice are withdrawn which showed 5 or 6.

If any dice left ,they are thrown again and withdrawn which showed 5 or 6 .

The random variable X gives the number of dice withdrawn in both round. Determine the Distribution of X .

Math   Statistics-And-Probability   
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Answer #1

The random variable X gives the number of dice withdrawn in both round.

X can take the values X=0 (no die is withdrawn),1 (one die is withdrawn) ,2 (2 dices are withdrawn)

The probability that a die is withdrawn is

The probability that a die is not withdrawn is

The probability that no die is withdrawn is

The probability that 1 die is withdrawn is

The probability that 2 dice is withdrawn is

ans: the Distribution of X is

x P(X=x)
0 0.4444
1 0.4444
2 0.1111
0 0
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