Binomial probability:

1.Jasmine is taking a 20 question test for her driver's permit.Each question has 4 choices and she guesses on each question (since she never studied her manual!).What is the probability that she gets exactly 16 questions correct?

2.Mr. Evans is a great EMT technician. He is able to save his patients 98% of the time. If

he has 12 patients, what is the probability that exactly 2 are not saved?

3.The baker is able to make a perfect pastry 97% of the time. If he bakes 75 pies, what is

the probability that exactly 45 turn out?

4.Suppose that Trey is a basketball player who normally makes 80% of his free throws. Assume that he takes 6 free throw shots Tuesday night. What is the probability that he makes exactly 5 of his shots?

5.Page County Insurance Company records indicate that 12% of all teenage drivers have been ticketed for speeding. Of the 143 teenagers that graduated, what is the probability that exactly23 of them have been ticketed for speeding?

6.Pepsi is running a sales promotion in which 3% of all bottles have a "FREE" logo under

the cap. What is the probability that you find exactly two free logos in a 12-pack?

Normal distribution:

7.The distribution of annual profit at the chain of Shoe Palace stores was approximately normal with a mean of $457,300 and a standard deviation of $58,000.The CEO of the company would like to reassess the efficiency of all managers of the stores with the lowest 15% of profits.What is themaximum annual profit at the stores that fit in the lowest 15%?

8.If the population of monthly internet bills for the Ida neighborhood has a mean of$82.00 and a standard deviation of $7.50, what is the probability of selecting a household at random whose monthly bill is $64.00 or less?

9.The administration is planning on giving assessments to the top 10% of seniors. If the mean of the senior class GPAs is 3.38 with a standard deviation of 0.15, what is the indicatedz-score?

10.Indicate whether the following statistics can be examples of binomial probability distributions:

a.) results of spinning a 4-color spinner

b.)results of flipping a quarter

c.) results of drawing a red or black suit from a deck of cards

d.)results of hittingred light or green light at the intersectionof Main and Rt. 340