$A$ random variable $X$ has the following probability distribution:
$x$ $0$ $1$ $2$ $3$ $4$ $5$ $6$ $7$ $8$ $P(X=x)$ $k$ $2k$ $3k$ $4k$ $4k$ $3k$ $2k$ $k$ $k$
Then $P(3 < X \leq 6) = $
| $x$ | $0$ | $1$ | $2$ | $3$ | $4$ | $5$ | $6$ | $7$ | $8$ |
|---|---|---|---|---|---|---|---|---|---|
| $P(X=x)$ | $k$ | $2k$ | $3k$ | $4k$ | $4k$ | $3k$ | $2k$ | $k$ | $k$ |
Then $P(3 < X \leq 6) = $
- A$\frac{3}{7}$
- B$\frac{4}{7}$
- C$\frac{13}{21}$
- D$\frac{8}{21}$
Explore More
Similar Questions
Two coins are tossed simultaneously. Then,the value of $E(X)$,where $X$ denotes the number of heads is
Suppose that a random variable $X$ follows a Poisson distribution. If $P(X=1) = P(X=2)$, then $P(X=5)$ is equal to:
For a probability distribution $P(x) = \frac{c}{3} \binom{4}{x}$,where $x = 1, 2, 3, 4$,the value of $c$ is . . . . . . .
Find the variance of the number obtained on a throw of a fair die.
Medium
View SolutionIf $f(x) = \frac{x+2}{18}$ for $-2 < x < 4$ and $f(x) = 0$ otherwise,is the probability density function (p.d.f.) of a random variable $X$,then the value of $P(|X| < 2)$ is
Vedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo