question archive 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
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