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Chapter 5: Q 5. (page 294)

Spinning a quarter With your forefinger, hold a new quarter (with a state featured on the reverse) upright, on its edge, on a hard surface. Then flick it with your other forefinger so that it spins for some time before it falls and comes to rest. Spin the coin a total of 25 times, and record the results.

(a) What’s your estimate for the probability of heads? Why?

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

Short Answer

Expert verified

Part (a) The estimate for the probability of heads is0.04.

Part (b) The estimate for the probability of heads is0.04.

Step by step solution

01

Part (a) Step 1. Given Information

Need to spin the coin 25times and note the result after falling and comes to rest.

02

Part (a) Step 2. Concept Used 

The probability of an event is obtained by dividing the number of favorable outcomes by the total number of possible outcomes.

03

Part (a) Step 3. Calculation

The probability of heads can be calculated as:

p(heads)=1025

Thus, the required probability of heads is 0.4.

04

Part (b) Step 1. Explanation 

One can get an even better estimate by increasing the number of spins. A spin greater than 25could give a better estimate.

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Most popular questions from this chapter

Fill ’er up Refer to Exercise 83. Given that the customer paid with a credit card, find the probability that she bought premium gas.

Simulation blunders Explain what’s wrong with each of the following simulation designs.

(a) According to the Centers for Disease Control and Prevention, about 26%of U.S. adults were obese in 2008. To simulate choosing 8adults at random and seeing how many are obese, we could use two digits. Let 01to 26represent obese and 27to 00represents not obese. Move across a row in Table D, two digits at a time, until you find 8 distinct numbers (no repeats). Record the number of obese people selected.

(b) Assume that the probability of a newborn being a boy is 0.5. To simulate choosing a random sample of 9babies who were born at a local hospital today and observing their gender, use one digit. Use ran dint (0,9) on your calculator to determine how many babies in the sample are male.

Role-playing games Refer to Exercise 39. Define event A: sum is 5. Find P(A).

Color-blind men Refer to Exercise 25. Suppose we randomly select 4 U.S. adult males. What’s the probability that at least one of them is red-green

color-blind? Design and carry out a simulation to answer this question. Follow the four-step process.

Construct a tree diagram to represent this situation.
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