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Find the mean, variance and standard dev...

Find the mean, variance and standard deviation of the number heads when three coins are tossed.

Text Solution

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The correct Answer is:
`mu=(3)/(2),sigma_(x)^(2)=(3)/(4),sigma_(x)=0.87`.
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(a) (i) Find the probability distribution of the number of heads when three coins are tossed simultaneously. (ii) Find the probability distribution of the number of tails in the simultaneous tosses of three coins. (iii) Find the probability distribution of the number of heads in the simultaneous toss of four coins. (b) (i) Find the probability distribution of the number of heads in three tosses of a coin. (ii) Find the probability distribution of the number of sixes in two tosses of a die. ( c ) Find the probability distribution of the number of heads (tails) in four tosses of a coin.