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Chapter 5: Q T5.4. (page 336)

Computer voice recognition software is getting better. Some companies claim that their software correctly recognizes 98%of all words spoken by a trained user. To simulate recognizing a single word when the probability of being correct is 0.98, let two digits simulate one word; 00 to 97 mean “correct.” The program recognizes words (or not) independently. To simulate the program’s performance on 10 words, use these random digits:

6097070024178682984361790906568796418883 The number of words recognized correctly out of the 10 is (a)10(b)9(c)8(d)7(e)6

Short Answer

Expert verified

The number is (c)8

Step by step solution

01

Step 1. Given

The random digits are: 60970700241786829843617909065687694

02

Step 2. Concept

By Use of arranging method

03

Step 3. Calculation

The random digits are: 60970700241786829843617909065687694

There are two numbers that can be used to create a word.

00 to 97 correct

98 to 99 incorrect

Now, arrange it in a logical order.

60970700241786829843617909065687694

A simulation of ten words is required here. As a result, the first ten groups of random digits are needed, as shown below: 60970700241786829843

It's worth noting that the first ten words contain 98 and 99zeros, implying that one group represents the incorrect term while the other nine represent the correct word.

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Most popular questions from this chapter

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

Sampling senators Refer to Exercise 67. Are events D and F independent? Justify your answer.

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.

At the gym Suppose that 10%of adults belong to health clubs, and 40% of these health club members go to the club at least twice a week. What percent of all adults go to a health club at least twice a week? Write the information given in terms of probabilities, and use the general multiplication rule.

Get rich A survey of 4826 randomly selected young adults (aged 19 to 25) asked, “What do you think are the chances you will have much more than a middle-class income at age 30?” The two-way table shows the responses.

14 Choose a survey respondent at random.

(a) Given that the person selected is male, what’s the probability that he answered “almost certain”?

(b) If the person selected said “some chance but probably not,” what’s the probability that the person is female?

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