Answer to Question #292283 in Statistics and Probability for Yaku

Question

7. A frozen food distributor claims that 80% of its frozen chicken dinners contain at least three ounces of chicken. To check the claim, a consumer testing service decides to check ten of these chicken dinners and rejects the claim unless at least seven of them contain at least three ounces of chicken. Find the probability that the testing service will

make the error of

a) rejecting the claim even though it is true;

b) not rejecting the claim when in reality only 70% of the frozen

chicken dinners contain at least three ounces of chicken.

9. 70% of all patients coming to a certain medical clinic have to wait at least 15 minutes to see a doctor.

a) Find the probabilities that among ten patients coming to this clinic 0, 1, 2,...,10 have to wait at least 15 minutes to see their doctor;

b) calculate mean number of patients who have to wait at least 15 minutes to see their doctor and locate it on the bar chart.

c) calculate standard deviation of the number of patients who have to wait at least 15 minutes.