A bag contains 7 coins, 2 of which have a head on both sides while the other 5 coins are normal. A coin is chosen at random from the bag and tossed 2 times. The number of heads obtained is a random variable, say X. (a) What are the possible values of X? Also tabulate the pmf of X. (b) Calculate E(X) and Var(X).

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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A bag contains 7 coins, 2 of which have a head on both sides while the other 5 coins
are normal. A coin is chosen at random from the bag and tossed 2 times. The number
of heads obtained is a random variable, say X.
(a) What are the possible values of X? Also tabulate the pmf of X.
(b) Calculate E(X) and Var(X).
Transcribed Image Text:A bag contains 7 coins, 2 of which have a head on both sides while the other 5 coins are normal. A coin is chosen at random from the bag and tossed 2 times. The number of heads obtained is a random variable, say X. (a) What are the possible values of X? Also tabulate the pmf of X. (b) Calculate E(X) and Var(X).
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