SOLUTION: All new drivers must take the drivers test. Monday eighteen new driver will take the drivers examination. If the probability a new driver passes the drivers test on the first try i
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Question 450295: All new drivers must take the drivers test. Monday eighteen new driver will take the drivers examination. If the probability a new driver passes the drivers test on the first try is .8, find the following probabilities:
A. what is the probability that 12 will pass?
B. what is the probability that no less than 12 will pass?
C. what is the probability that at most 12 will pass?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
The probability of 
successes in 
trials where 
is the probability of success on any given trial is given by:
\ =\ \left(n\cr k\right\)\left(p\right)^k\left(1\,-\,p\right)^{n\,-\,k})
Where )
is the number of combinations of things taken at a time and is calculated by !})
Part a):
\ =\ \left(18\cr 12\right\)\left(0.8\right)^{12}\left(0.2\right)^{6})
Part b):
\ =\ \sum_{i\,=\,12}^{18}\ \left(18\cr\ i\right\)\left(0.8\right)^{i}\left(0.2\right)^{18\,-\,i})
Part c:
\ =\ \sum_{i\,=\,0}^{12}\ \left(18\cr\ i\right\)\left(0.8\right)^{i}\left(0.2\right)^{18\,-\,i})
John
My calculator said it, I believe it, that settles it
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