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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 鈥渃orrect.鈥� The program recognizes words (or not) independently. To simulate the program鈥檚 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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