SOLUTION: For a binomial probability distribution, it is unusual for the number of successes to be less than μ - 2.5σ or greater than μ + 2.5σ. For a binomial experiment with 10 trials

Question 1142050: For a binomial probability distribution, it is unusual for the number of successes to be less than μ - 2.5σ or greater than μ + 2.5σ.
For a binomial experiment with 10 trials for which the probability of success on a single trial is 0.2, is it unusual to have more than 5 successes? Compute μ and σ to help you explain why or why not.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Given information:
is the number of trials
is the probability of success

First compute the mean mu

and the standard deviation sigma

(approximate)

Now compute the lower and upper boundaries (L and U)

The results we got were: and

Let x = number of successes

If x > 5, then this is beyond the upper boundary since x is a positive whole number.

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Answer: It is unusual to have more than 5 successes.

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