Question

In: Statistics and Probability

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

At a Noodles & Company restaurant, the probability that a customer will order a nonalcoholic beverage is .51.

a. Find the probability that in a sample of 10 customers, none of the 10 will order a nonalcoholic beverage. (Round your answer to 4 decimal places.)

Probability           

b. Find the probability that in a sample of 10 customers, at least 7 will order a nonalcoholic beverage. (Round your answer to 4 decimal places.)

Probability           

c. Find the probability that in a sample of 10 customers, fewer than 8 will order a nonalcoholic beverage. (Round your answer to 4 decimal places.)

Probability           

d. Find the probability that in a sample of 10 customers, all 10 will order a nonalcoholic beverage. (Round your answer to 4 decimal places.)

Probability           

Solutions

Expert Solution

At a Noodles & Company restaurant, the probability that a customer will order a nonalcoholic beverage is 0.51.

In a sample of 10 customers, let X denote the number of customers who will order a nonalcoholic beverage.

Clearly, X ~ Binomial(10,0.51)

Probability that in a sample of 10 customers, none of the 10 will order a nonalcoholic beverage

Probability that in a sample of 10 customers, at least 7 will order a nonalcoholic beverage

Probability that in a sample of 10 customers, fewer than 8 will order a nonalcoholic beverage

Probability that in a sample of 10 customers, all 10 will order a nonalcoholic beverage


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