In a meeting,$70 \%$ of the members favour and $30 \%$ oppose a certain proposal. $A$ member is selected at random. We take $X=0$ if he opposes the proposal and $X=1$ if the member is in favour. Then the variance of $X$ is:
- A$0.21$
- B$0.23$
- C$0.25$
- D$0.27$
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Similar Questions
The probability distribution of a random variable $X$ is given by:
$X = x_i$ $0$ $1$ $2$ $3$ $4$ $P(X = x_i)$ $0.4$ $0.3$ $0.1$ $0.1$ $0.1$
Then the variance of $X$ is:
| $X = x_i$ | $0$ | $1$ | $2$ | $3$ | $4$ |
|---|---|---|---|---|---|
| $P(X = x_i)$ | $0.4$ | $0.3$ | $0.1$ | $0.1$ | $0.1$ |
Then the variance of $X$ is:
$A$ random variable $X$ takes the values $0, 1, 2, 3, \dots$ with probability $P(X=x) = k(x+1)\left(\frac{1}{5}\right)^x$,where $k$ is a constant. Then $P(X=0)$ is
The p.m.f of a random variable $X$ is given by $P(X) = \frac{2x}{n(n+1)}$ for $x = 1, 2, 3, \ldots, n$,and $0$ otherwise. Then $E(X) = $
$A$ boy tosses a fair coin $3$ times. If he gets $₹ 2x$ for $x$ heads,then his expected gain equals to $₹........$
$A$ die is thrown repeatedly until a six comes up. What is the sample space for this experiment?
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