SOLUTION: Every day, there is a 90% chance that Kevin will spill coffee on himself while driving to work.
Looking at the next five days, what is the probability that Kevin will spill
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Question 1124881: Every day, there is a 90% chance that Kevin will spill coffee on himself while driving to work.
Looking at the next five days, what is the probability that Kevin will spill coffee on himself on just two of those days?
Looking at the next five days, what is the probability that Kevin will spill coffee on himself on at least two of those days?
Enter your answers as whole numbers or decimals.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
The probability of 
successful outcomes of 
experiments where the probability of success on any given trial is 
is given by:
\ =\ {{n}\choose{k}}\(p\)^k\(1\,-\,p\)^{n\,-\,k})
The probability of at least successful outcomes of experiments where the probability of success on any given trial is is given by:
\ =\ \sum_{r=k}^n\,{{n}\choose{r}}\(p\)^r\(1\,-\,p\)^{n\,-\,r})
Although it may be more convenient to calculate the equivalent expression:
\ =\ 1\ -\ P(<k,n,p)\ =\ 1 - \sum_{r=0}^{k-1}\,{{n}\choose{r}}\(p\)^r\(1\,-\,p\)^{n\,-\,r})
All you need to do is plug in your given numbers and do the arithmetic. In the case of your specific problem, the "equivalent expression" will be much simpler to calculate for your second problem. Don't forget that the probability must be expressed as a decimal.
John
My calculator said it, I believe it, that settles it
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