In a meeting,$60 \%$ of the members favour and $40 \%$ oppose a certain proposal. $A$ member is selected at random. We define a random variable $X$ such that $X=0$ if the member opposes the proposal and $X=1$ if the member is in favour. Then,$\text{Var}(X) = $
- A$0.36$
- B$0.24$
- C$0.6$
- D$0.06$
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Similar Questions
$A$ random variable $X$ has the following probability distribution:
$X=x$ $1$ $2$ $3$ $4$ $P(X=x)$ $0.1$ $0.2$ $0.3$ $0.4$
The mean and standard deviation of $X$ are respectively:
| $X=x$ | $1$ | $2$ | $3$ | $4$ |
| $P(X=x)$ | $0.1$ | $0.2$ | $0.3$ | $0.4$ |
The mean and standard deviation of $X$ are respectively:
If on an average $4$ customers visit a shop in an hour, then the probability that more than $2$ customers visit the shop in a specific hour is
DifficultTS EAMCET 2024
View Solution$A$ random variable $X$ has the following probability distribution:
$X$ $0$ $1$ $2$ $3$ $4$ $5$ $6$ $7$ $P(X)$ $0$ $k$ $2k$ $2k$ $3k$ $k^2$ $2k^2$ $7k^2+k$
Determine $k$.
| $X$ | $0$ | $1$ | $2$ | $3$ | $4$ | $5$ | $6$ | $7$ |
| $P(X)$ | $0$ | $k$ | $2k$ | $2k$ | $3k$ | $k^2$ | $2k^2$ | $7k^2+k$ |
Determine $k$.
Easy
View SolutionIf the mean of a Poisson distribution is $\frac{1}{2}$, then the ratio of $P(X=3)$ to $P(X=2)$ is
The probability distribution of a random variable $X$ is given by
$X = x$ $0$ $1$ $2$ $P(X = x)$ $\frac{1}{5}$ $\frac{2}{5}$ $\frac{2}{5}$
Then the variance of $X$ is
| $X = x$ | $0$ | $1$ | $2$ |
| $P(X = x)$ | $\frac{1}{5}$ | $\frac{2}{5}$ | $\frac{2}{5}$ |
Then the variance of $X$ is
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