Question

In: Statistics and Probability

In an experiment of rolling 10 dice simultaneously. Use the binomial distribution to calculate the followings:...

In an experiment of rolling 10 dice simultaneously. Use the binomial distribution to calculate the followings:

a) The probability of getting six 6’s b) The probability of getting six, seven, or eight 3’s c) The probability of getting six even numbers

Expert Solution

Answer:

Given that:

In an experiment of rolling 10 dice simultaneously.

a) The probability of getting six 6’s

Observe that the probability of getting 6 in a turn is 1/6. Hence if X is the number of 6 obtained in the 10 dice rolls,then .Hence probability of getting six 6's is

b) The probability of getting six, seven, or eight 3’s

Observe that the probability of getting 3 in a turn is 1/6. Hence if Y is the number of 3 obtained in the 10 dice rolls, then .Hence the probability of getting 6,7,or 8 3's is

c) The probability of getting six even numbers

Observe that the probability of getting even number in a turn is 3/6 = 1/2. Hence if E is the number of even numbers obtained in the 10 dice rolls, then .Hence the probability of getting 6 even numbers in 10 dice roll is

orchestra answered 2 years ago

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