Question

In: Statistics and Probability

The probability that a person is left-handed is 17%. You randomly select three people. What is...

The probability that a person is left-handed is 17%. You randomly select three people. What is the probability that: a) all three are left handed b) none of them are left handed c) at least one of them is left-handed

Expert Solution

X: Number of left handed person

Probability = p = 0.17

Sample size = n = 3

X follows Binomial distribution.

Probability Mass Function of Binomial distribution is:

a)

We have to find the probability that all three are left handed.

That is we have to find P(X = 3)

b)

We have to find the probability that none of them are left handed.

That is we have to find P(X = 0)

c)

We have to find the probability that at least one of them is left handed.

That is we have to find P(X 1)

P(X 1) = 1 - P(X = 0)

P(X 1) = 1 - P(X = 0) = 1 - 0.5718 = 0.4282

orchestra answered 2 years ago

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