Justine works for an organization committed to raising money for Alzheimer’s research. From past experience, the organization knows that about 20% of all potential donors will agree to give something if contacted by phone. They also know that of all people donating, about 5% will give $100 or more. On average, how many potential donors will she have to contact until she gets her first$100 donor?

A Department of Transportation report about air travel found that airlines misplace about 5 bags per 1000 passengers. Suppose you are traveling with a group of people who have checked 22 pieces of luggage on your flight. Can you consider the fate of these bags to be Bernoulli trials? Explain.

¿Es el esmog un recurso natural, un problema o una solución?

A champion archer can generally hit the bull's-eye 80% of the time. Suppose she shoots 200 arrows during competition. Let $\hat{p}$ represent the percentage of bull's-eyes she gets (the sample proportion).

What are the mean and standard deviation of the sampling distribution model for $\hat{p}$?

A Department of Transportation report about air travel found that, nationwide, 76% of all flights are on time. Suppose you are at the airport and your flight is one of 50 scheduled to take off in the next two hours. Can you consider these departures to be Bernoulli trials? Explain.

A soccer team estimates that they will score on 8% of the corner kicks. In next week's game, the team hopes to kick 15 corner kicks. What are the chances that they will score on 2 of those opportunities?

A manufacturer ships toaster s in cartons of 20 In each carton , they estimate a 5% chance that one of the toasters will need to be sent back for minor repairs. What is the probability that in a carton , there will be exactly 3 toasters that need repair?

Find an equation of the ellipse with vertices (0, ±8) and eccentricity e = 1/2

Suppose 75% of all drivers always wear their seatbelts. Let's investigate how many of the drivers might be belted among five cars waiting at a traffic light. Find the actual probability model.

Suppose 75% of all drivers always wear their seatbelts. Let’s investigate how many of the drivers might be belted among five cars waiting at a traffic light. a) Describe how you would simulate the number of seatbelt-wearing drivers among the five cars. b) Run at least 30 trials. c) Based on your simulation, estimate the probabilities there are no belted drivers, exactly one, two, etc. d) Find the actual probability model. e) Compare the distribution of outcomes in your simulation to the probability model.

Suppose a computer chip manufacturer rejects 2% of the chips produced because they fail presale testing. What's the probability you find a bad one within the first 10 you examine?

Suppose 75% of all drivers always wear their seatbelts. Let's investigate how many of the drivers might be belted among five cars waiting at a traffic light. Describe how you would simulate the number of seatbelt-wearing drivers among the five cars.

Find each product.

$$( x - 1 ) ^ { 3 }$$

Let’s take one last look at the Tiger Woods picture search. You know his picture is in 20% of the cereal boxes. You buy five boxes to see how many pictures of Tiger you might get. a) Describe how you would simulate the number of pictures of Tiger you might find in five boxes of cereal. b) Run at least 30 trials. c) Based on your simulation, estimate the probabilities that you get no pictures of Tiger, 1 picture, 2 pictures, etc. d) Find the actual probability model. e) Compare the distribution of outcomes in your simulation to the probability model.