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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.

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To find the mean, variance, and standard deviation of the number of heads when three coins are tossed, we can follow these steps: ### Step 1: Identify the Sample Space When three coins are tossed, the possible outcomes can be represented as: - HHH (3 heads) - HHT (2 heads) - HTH (2 heads) - THH (2 heads) ...
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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.