Question

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 $\left(a\right)10\left(b\right)9\left(c\right)8\left(d\right)7\left(e\right)6$

Short answer

The number is $\left(c\right)8$

Step-by-step solution

Step 1. Given

The random digits are: $60970700241786829843617909065687694$

Step 2. Concept

By Use of arranging method

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 $99$zeros, implying that one group represents the incorrect term while the other nine represent the correct word.