SOLUTION: The sales Manager of an Automobile dealer estimated 80% of the new cars delivered by them have no defect and so will not be brought back immediately for repair. He sells a fleet o

Question 252181: The sales Manager of an Automobile dealer estimated 80% of the new cars delivered by them have no defect and so will not be brought back immediately for repair. He sells a fleet of 10 cars to an important customer. What i�the probability that � (i) No car will be brought back (ii) Exactly two cars will be brought back. (iii) At least two cars will be brought back.
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
Binomial expansion: (a+b)^10=a^10+10a^9b+45a^8b^2+... This is the only part of the expansion that we need.
Let a=.8, b=.2
.
No car returned: .8^10=.107
.
Exactly 2 returned: 45*.8^8*.2^2=.302
.
At least 2 returned:
10*.8^9*.2=.268 (exactly 1 returned)
1-.107-.268=.624 (1-one or none returned)
.
Ed
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