SOLUTION: It is known that one out of every five tax returns will contain errors and are classed as faulty. Calculate the probability that in a sample of five tax returns (i) none are faulty
Algebra.Com
Question 822162: It is known that one out of every five tax returns will contain errors and are classed as faulty. Calculate the probability that in a sample of five tax returns (i) none are faulty (ii) at least one is faulty
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
It is known that one out of every five tax returns will contain errors and are classed as faulty. ------
Binomial Problem with n = 5 and p(faulty) = 1/5
-----
Calculate the probability that in a sample of five tax returns
(i) none are faulty
P(x = 0) = (4/5)^5 = 0.3277
--------------------------
(ii) at least one is faulty
P(x >=1) = 1 - P(x = 0) = 1 - (4/5)^5 = 0.6723
=======================
Cheers,
Stan H.
=======================
RELATED QUESTIONS
An IRS auditor randomly selects 3 tax returns from 57 returns of which 8 contain errors.... (answered by KMST)
An irs person randomly selects 3 tax returns with out replacement from 47 returns of... (answered by ikleyn)
The probability that federal income tax returns will have 0,1, or 2 errors is 0.53, 0.15, (answered by stanbon)
The probability that federal income tax returns will have 0,1,or 2 errors is 0.73, 0.23,... (answered by stanbon)
The probability that a person will make 0,1,2 or 3 errors on his or her income tax return (answered by jim_thompson5910)
An IRS auditor randomly selects 3 tax returns from 61 tax returns of which 9 contain... (answered by math_helper)
Suppose that 85% of all federal tax returns filed last year are free of arithmetic... (answered by robertb)
an IRS auditor randomly selected 3 tax returns from 50 returns of which contain errors.... (answered by Fombitz)
An IRS auditor randomly selects 3 tax returns (without replacement) from 47 returns of... (answered by edjones)