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Chapter 5: Q 2.1. (page 292)

Refer to the golden ticket parking lottery example. At the following month’s school assembly, the two lucky winners were once again members of the AP Statistics class. This raised suspicions about how the lottery was being conducted. How would you modify thesimulation in the example to estimate the probability of this happening just by chance?

Short Answer

Expert verified

Example: Choose 4 then non-repeating values between 01 and 28 on all four labels.

Step by step solution

01

Step 1. Given Information

Members of the A.P. statistics classes were once again the lucky recipients.

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

Calculate the likelihood:- The probability of a single event occurring is calculated by dividing the number of events by the number of possible outcomes. Choose four two-digit labels for each trail and keep track of how often the trail resulted in nonrepeating values between 01 and 28on all four labels.

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Most popular questions from this chapter

You want to estimate the probability that the player makes 5or more of 10shots. You simulate 10 shots 25 times and get the following numbers of hits:

5754153434534463417455657 What is your estimate of the probability?

(a) 5/25, or 0.20 (d) 16/25, or 0.64

(b) 11/25, or 0.44 (e) 19/25, or 0.76

(c) 12/25, or 0.48

Languages in Canada Canada has two official languages, English and French. Choose a Canadian at random and ask, “What is your mother tongue?”

Here is the distribution of responses, combining many separate languages from the broad Asia/Pacific region:6Language: English French Asian/Pacific Other Probability: 0.630.220.06?

(a) What probability should replace “?” in the distribution? Why?

(b) What is the probability that a Canadian’s mother tongue is not English?

(c) What is the probability that a Canadian’s mother tongue is a language other than English or French?

Stoplight On her drive to work every day, Ilana passes through an intersection with a traffic light. The light has a probability of 1/3 of being green when she gets to the intersection. Explain how you would use each chance device to simulate whether the light is red or green on a given day.

(a) A six-sided die

(b) Table D of random digits

(c) A standard deck of playing cards

You read in a book about bridge that the probability that each of the four players is dealt exactly one ace is about 0.11 This means that (a) in every100 bridge deals, each player has one ace exactly 11 times.

(b) in one million bridge deals, the number of deals on which each player has one ace will be exactly 110,000

(c) in a very large number of bridge deals, the percent of deals on which each player has one ace will be very close to 11%

(d) in a very large number of bridge deals, the average number of aces in a hand will be very close to 0.11

(e) None of these

Find P(AandB).
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