SOLUTION: In a city the probability that a person will pass his or her driving test the first attempt is 0.66. Four people are selected at Random from among those taking their driving test f

Algebra ->  Probability-and-statistics -> SOLUTION: In a city the probability that a person will pass his or her driving test the first attempt is 0.66. Four people are selected at Random from among those taking their driving test f      Log On


   



Question 619563: In a city the probability that a person will pass his or her driving test the first attempt is 0.66. Four people are selected at Random from among those taking their driving test for the first time. Determine the following:
a. The probability that exactly one person passed
b. The probability that at least two persons passed the test

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
In a city the probability that a person will pass his or her driving test the first attempt is 0.66. Four people are selected at Random from among those taking their driving test for the first time.
-----
Binomial Problem with n = 4 and p(pass) = 0.66
-----
Determine the following:
a. The probability that exactly one person passed
P(x = 1) = 4C1*(0.66)*(0.34)^3 = binompdf(4,0.66,1) = 0.1038
----------------------------------------------------------------
b. The probability that at least two persons passed the test
P(2<= x <=4) = 1 - binomcdf(4,0.66,1) = 0.8829
=================================================
Cheers,
Stan H.