Question

At a Noodles & Company restaurant, the probability that a customer will order a nonalcoholic beverage is .49.

a. Find the probability that in a sample of 13 customers, none of the 13 will order a nonalcoholic beverage. (Round your answer to 4 decimal places.) Probability

b. Find the probability that in a sample of 13 customers, at least 6 will order a nonalcoholic beverage. (Round your answer to 4 decimal places.) Probability

c. Find the probability that in a sample of 13 customers, fewer than 7 will order a nonalcoholic beverage. (Round your answer to 4 decimal places.) Probability

d. Find the probability that in a sample of 13 customers, all 13 will order a nonalcoholic beverage. (Round your answer to 4 decimal places.) Probability

Answer 1

This is a question of binomial distribution.

The population proportion of success is p = 0.49, also, 1 - p = 1 - 0.49 = 0.51, and the sample size is n=13.

a)

We need to compute

This implies that

b)

We need to compute

Therefore, we get that

This implies that:

c)

We need to compute

Therefore, we get that

This implies that

d)

We need to compute

This implies that

which means that the probability we are looking for is Pr(X=13)=0.0001.

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