14) A IRS auditor randomly selects 3 tax returns from 45 returns of which 15 contain errors that she selects none of those containing errors? Round to four decimal places. 15) A sample of 4 different calculators is randomly selected from a group containing 46 that are defective and 26 that have no defects. What is the probability that all four of the calculators selected are defective? Round to four decimal places.

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14 and 15

14) A IRS auditor randomly selects 3 tax returns from 45 returns of which 15 contain errors
that she selects none of those containing errors? Round to four decimal places.
15) A sample of 4 different calculators is randomly selected from a group containing 46 that are defective and 26
that have no defects. What is the probability that all four of the calculators selected are defective? Round to
four decimal places.
Transcribed Image Text:14) A IRS auditor randomly selects 3 tax returns from 45 returns of which 15 contain errors that she selects none of those containing errors? Round to four decimal places. 15) A sample of 4 different calculators is randomly selected from a group containing 46 that are defective and 26 that have no defects. What is the probability that all four of the calculators selected are defective? Round to four decimal places.
Expert Solution
Step 1

14) Given Information:

A IRS auditor randomly selected 3 tax returns from 45 returns, of which 15 contain errors.

To find the probability that she selects none of those containing errors:

 

Total possible outcomes: i.e.,

Number of ways of selecting 3 tax returns from a total of 45 returns is C345 ways.

C345=45!3!45-3!=14190

 

If 15 contain errors, 45-15=30 contain no errors.

Favourable outcomes:

Number of ways of selecting 3 tax returns that do not contain errors is done in C330 ways.

That is: C330=30!3!30-3!=4060

 

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