Question 612468: An averages of four tax evaders per 100 tax filers. If 50 tax filers are randomly selected from the state, what is the probability of the following:
a. Exactly one tax filer will be a tax evader?
b. At most three filers will be tax evaders?
c. Over nine filers will be tax evaders?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! An averages of four tax evaders per 100 tax filers. If 50 tax filers are randomly selected from the state,
Binomial Problem with n = 50 and p(evade) = 0.04
------------------------------------------------
what is the probability of the following:
a. Exactly one tax filer will be a tax evader?
P(x = 1) = 50C1*0.04*0.96^49 = binompdf(50,0.04,1) = 0.2706
------------------------------------------------------------
b. At most three filers will be tax evaders?
binomcdf(50,0.04,3) = 0.8609
--------------------------------------------------------
c. Over nine filers will be tax evaders?
1 - binomcdf(50,0.04,9) = 0.00002472
===================
Cheers,
Stan H.
===================
|
|
|
