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A six-sided die is rolled 10 times and the number of times the six is rolled...

A six-sided die is rolled 10 times and the number of times the six is rolled is recorded. This is an example of a binomial experiment.

Select one:
True
False

Math   Statistics-And-Probability   
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Answer #1

A six sided die is rolled 10 times.

Number of times six is rolled, is recorded.

Now, six is rolled with probability 1/6, and non 6 is rolled with chance 5/6.

So, the experiment has two outcomes, which are complementary; so a six roll can be considered as success, and non 6 is considered as failure.

All the 10 rolls of the die, ie. all trials are independent.

So, this is a binomial experiment.

If X be the random variable denoting the number of sixes in these 10 rolls, then X follows binomial with parameters n = 10 and p = 1/6.

So, the given statement is TRUE.

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