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there are ten members of thr Train Collectors Association currently discussing the collecting hobby at a...

there are ten members of thr Train Collectors Association currently discussing the collecting hobby at a recent dinner. Seven of them collect Lionel trains. what is the porbability of identifying four collectors of Lionel trains if you randomly sample six of the ten members?
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Answer #1

SOLUTION-

NO OF MEMBERS = 10

NO OF LIONEL TRAIN COLLECTORS = 7

HENCE, PROBABILITY OF CHOOSING A LIONEL TRAIN COLLECTOR = 7/10 =0.7

NOW, WE RANDOMLY SELECT SIX OF THE TEN MEMBERS.

SO, N=6

LET X BE THE NO OF LIONEL COLLECTORS IDENTIFIED

SO X ~ BINOMIAL ( 6, 0.7)

HENCE, THE REQUIRED PROBABILITY IS

P(X=4) =

= 0.324135

**REMARK**- IN CASE OF DOUBT, COMMENT BELOW. ALSO LIKE THE SOLUTION IF YOU LIKED IT.

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