Question 558823: A gas station has a 7% chance of running out of gas.
a)What is the probability the gas station will run out of gas one day in the next two weeks?
b)What is the probability the gas station will run out of gas at least two days in the next two weeks?
c)What is the expected number of times the gas station will run out of gas?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A gas station has a 7% chance of running out of gas.
a)What is the probability the gas station will run out of gas one day in the next two weeks?
P(x = 1) = 14C1*0.07*0.93^13 = binompdf(14,0.07,1) = 0.3815
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b)What is the probability the gas station will run out of gas at least two days in the next two weeks?
P(2<= x <=14) = 1 - binomcdf(14,0.07,1) = 0.2564
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c)What is the expected number of times the gas station will run out of gas
in two weeks?
Expected value = np = 14*0.07 = 0.98 = 1 day
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Cheers,
Stan H.
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