Question

We have 56 people who has blue as their favorite color out 192 Therefore the probability...

We have 56 people who has blue as their favorite color out 192

Therefore the probability is

=56/192

=0.29166667

Question;

  1. If you now select a random sample of 6 people (don’t actually do it), what is the probability that no one in your sample will have their favorite color be blue?

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Answer #1

The sample size of 6 will have a binomial distribution with parameters n and p. The distribution can be represented as;

where n = 6 and the probability of success, p = 0.29166667

Now, the probability is obtained using the probability mass function as follows,

for k = 0

In excel use function =BINOM.DIST(0,6,0.29166667,FALSE)

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