# Finding a probability based on a binomial distribution

1. Based on information, 10% of us are left-handed. If a group of 50 people are randomly selected, the mean number of left handed people in such groups is 10. Is this correct?

2. In problem #1, if 3 people are randomly selected, the probability that they are all left handed is what?

3. In problem #1 it would be unusual to get 8 left-handed people in a randomly selected group of 50 people. Is this true?

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#### Solution Preview

1. Based on information, 10% of us are left-handed. If a group of 50 people are randomly selected, the mean number of left handed people in such groups is 10. Is this correct?

NO, it isn't. As the number of left handed people in such groups (denoted by X) follows a binomial ...

#### Solution Summary

The solution contains detailed explanation of finding a probability based on a binomial distribution.