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(C) When two coins are tossed simultaneously,the sample space is $S = \{HH, HT, TH, TT\}$.Let $X$ be the random variable representing the number of he

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(C) When two coins are tossed simultaneously,the sample space is $S = \{HH, HT, TH, TT\}$.Let $X$ be the random variable representing the number of heads.The possible values for $X$ are $0, 1, 2$.The probabilities are:$P(X=0) = P(TT) = \frac{1}{4}$$P(X=1) = P(HT, TH) = \frac{2}{4} = \frac{1}{2}$$P(X=2) = P(HH) = \frac{1}{4}$The expected value $E(X)$ is given by $\sum x_i P(x_i) = 0 	imes \frac{1}{4} + 1 	imes \frac{1}{2} + 2 	imes \frac{1}{4} = 0 + \frac{1}{2} + \frac{1}{2} = 1$.Alternatively,since this follows a binomial distribution with $n=2$ and $p=\frac{1}{2}$,$E(X) = np = 2 	imes \frac{1}{2} = 1$.

$X = x_i$	$1$	$2$	$3$	$5$
$P(X = x_i)$	$2k^2$	$k$	$k$	$k^2$

Two coins are tossed simultaneously. Then,the value of $E(X)$,where $X$ denotes the number of heads is

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