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At an airport car-rental depot the staff record two events for every car that is returned:
C : Car requires exterior cleaning.
L : Fuel level is low (below ½ tank).
From long term data, they estimate that P(C)=0.35,P(L)=0.25, and P(C∩L)=0.12.
Find P(C′∩L′)
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Find the probability that exactly one of the two events occurs.
Determine P(C∣L).
State, and justify, whether events C and L appear to be independent.
On a particular day 12 cars are returned.
Assume that whether any individual car requires exterior cleaning is independent of the others.
State the distribution of the random variable X= number of cars that require cleaning that day.
Find
P(X=6).
P(X≥4).
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