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Chapter 5: Q 2.2. (page 292)

Refer to the NASCAR and breakfast cereal example. What if the cereal company decided to make it harder to get some drivers’ cards than others? For instance, suppose the chance that each card appears in a box of the cereal is Jeff Gordon, 10%; Dale Earnhardt, Jr., 30%; Tony Stewart, 20%; Danica Patrick, 25%; and Jimmie Johnson,15%. How would you modify the simulation in the example to estimate the chance that a fan would have to buy 23 or more boxes to get the full set?

Short Answer

Expert verified

Count the number of boxes that are required to sample to have at least 5 boxes for each of the 5 drivers.

Step by step solution

01

Step 1. Given Information

The percentages for assigning are 10%,30%,20%,25% and 15% respectively.

02

Step 2. Concept

The probability of a single event occurring is calculated by dividing the number of events by the number of possible outcomes.

03

Step 3. Explanation

It is necessary to assign some integers ranging from 1 to 100, including 1-10, 11-40,41-60,61-85,86-99, and 00 Now, in Excel, use the random function to generate one drive for each of the five available drivers. Calculate or count the number of boxes that must be sampled in order to obtain at least 5 boxes for each of the five drivers.

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Most popular questions from this chapter

Urban voters The voters in a large city are 40%white, 40%black, and 20%Hispanic. (Hispanics may be of any race in official statistics, but here we are speaking of political blocks.) A mayoral candidate anticipates attracting 30%of the white vote, 90%of the black vote, and 50%of the Hispanic vote. Draw a tree diagram to represent this situation. What percent of the overall vote does the candidate expect to get? Use the four-step process to guide your work.

Find P(AandB).

Playing cards Shuffle a standard deck of playing cards and deal one card. Define events J: getting a jack, and R: getting a red card.

(a) Construct a two-way table that describes the sample space in terms of events J and R.

(b) Find P(J) and P(R).

(c) Describe the event “J and R” in words. Then find P(JandR)

(d) Explain why P(JorR)≠P(J)+P(R) Then use the general addition rule to compute P(JorR).

Nickels falling over You may feel it’s obvious that the probability of a head tossing a coin is about12because the coin has two faces. Such opinions are not always correct. Stand a nickel on the edge on a hard, flat surface. Pound the surface with your hand so that the nickel falls over. Do this 25time, and record the results.

(a) What’s your estimate for the probability that the

coin falls heads up? Why?

(b) Explain how you could get an even better estimate.

Rolling dice Suppose you roll two fair, six-sided dice—one red and one green. Are the events “sum is 7” and “green die shows a 4” independent? Justify

your answer.
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