question archive Daraz Mall Company provides free examination of its products for 7 days

Daraz Mall Company provides free examination of its products for 7 days

Subject:MathPrice:2.87 Bought7

Daraz Mall Company provides free examination of its products for 7 days. If not completely satisfied, a customer can return the product within that period and get a full refund. According to past records of the company, an average of 2 of every 10 products sold by this company are returned for a refund.

A)     Find the probability that exactly 6 of the 40 products sold by this company on a given day will be returned for a refund.

B)     Find the probability that no more than 3 of the 20 products sold by this company on a given day will be returned for a refund 

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Answer:

By applying the binomial distribution with probability of success p=2/10=0.2

A) p=0.2, 1-p=0.8 and n=40

using the binomial distribution (ncx)px(1-p)n-x

P(x=6)=(40c6)0.260.834

=0.1245625526

B)P(X ?≤? 3)=P(X=0)+P(X=1)+P(X=2)+P(X=3)

=(20c0)0.200.820+(20c1)0.210.819+(20c2)0.220.818+(20c3)0.230.817

=0.41144886196