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2. A certain brand of tea has a picture card in every packet. The cards form a set of 50 different pictures and are distributed among the packets so that any packet purchased is equally likely to contain any one of the cards. A boy needs just one picture to complete the set. Write down the expected value and the variance of the number of packets he must open in order to complete the set. Calculate the probability that he gets the remaining picture by opening not more than 10 packets
math   Statistics-And-Probability   
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Answer #1

Lizal o さなか尺 babiuty that th eand the Packet so then the

Let Y= the trial on which the 1st success occurs.

Y ~ Geometric(1/50)(II)

p(y)=P[Y=y]= p.qy-1 where 0<p<1 and q=1-p

0o y-1 3-1 (the trick) y= 1 Lに! y-1 (exchange order of summation) に1 (yak -0 1-qP

S0 1/50 the nmbex 2 49So

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