Question

In: Statistics and Probability

Suppose that you and two friends go to a​ restaurant, which last month filled approximately 77...

Suppose that you and two friends go to a​ restaurant, which last month filled approximately 77 % of the orders correctly. Complete parts​ (a) through​ (d) below.

a. What is the probability that all three orders will be filled​ correctly?

b. What is the probability that none of the three orders will be filled correctly?

c. What is the probability that at least two of the three orders will be filled correctly?

d. What are the mean and standard deviation of the binomial distribution used in a through c? Interpret these values

Solutions

Expert Solution

Answer:

Given that:

Suppose that you and two friends go to a​ restaurant, which last month filled approximately 77 % of the orders correctly.

a) What is the probability that all three orders will be filled​correctly?

P(All three orders) =

Using binomial distribution ncx

3C3

3C3

b) What is the probability that none of the three orders will be filled correctly?

P(None of orders) =

3C0

3C0

c) What is the probability that at least two of the three orders will be filled correctly?

3C0 3C1

d) What are the mean and standard deviation of the binomial distribution used in a through c? Interpret these values


orchestra answered 1 year ago
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