The cumulative distribution function (c.d.f.) $F(x)$ of a discrete random variable $X$ is given by the following table:
$X$ $-3$ $-1$ $0$ $1$ $3$ $5$ $7$ $9$ $F(X=x)$ $0.1$ $0.3$ $0.5$ $0.65$ $0.75$ $0.85$ $0.90$ $1$
Then,find the value of $\frac{P[X=-3]}{P[X < 0]}$.
| $X$ | $-3$ | $-1$ | $0$ | $1$ | $3$ | $5$ | $7$ | $9$ |
|---|---|---|---|---|---|---|---|---|
| $F(X=x)$ | $0.1$ | $0.3$ | $0.5$ | $0.65$ | $0.75$ | $0.85$ | $0.90$ | $1$ |
Then,find the value of $\frac{P[X=-3]}{P[X < 0]}$.
- A$\frac{1}{4}$
- B$\frac{1}{3}$
- C$\frac{1}{6}$
- D$\frac{1}{7}$
Explore More
Similar Questions
Which of the following cannot be a valid assignment of probabilities for outcomes of sample space $S = \{\omega_{1}, \omega_{2}, \omega_{3}, \omega_{4}, \omega_{5}, \omega_{6}, \omega_{7}\}$?
Outcome $\omega_{1}$ $\omega_{2}$ $\omega_{3}$ $\omega_{4}$ $\omega_{5}$ $\omega_{6}$ $\omega_{7}$ Probability $-0.1$ $0.2$ $0.3$ $0.4$ $-0.2$ $0.1$ $0.3$
| Outcome | $\omega_{1}$ | $\omega_{2}$ | $\omega_{3}$ | $\omega_{4}$ | $\omega_{5}$ | $\omega_{6}$ | $\omega_{7}$ |
| Probability | $-0.1$ | $0.2$ | $0.3$ | $0.4$ | $-0.2$ | $0.1$ | $0.3$ |
Easy
View Solution$A$ fair $n$-faced die is rolled repeatedly until a number less than $n$ appears. If the mean of the number of tosses required is $\frac{n}{9}$,then $n=$ (where $n \in N$ ).
If two dice are thrown and if $X$ denotes the sum of the numbers that show up on the faces of the dice, then the mean of the random variable $X$ is
The following table represents the probability distribution of a random variable $X$ for some $k \in Q$. Find the value of $k$.
$X=x$ $-2$ $-1$ $0$ $1$ $2$ $3$ $P(X=x)$ $0.1$ $k$ $0.2$ $2k$ $0.3$ $k$
| $X=x$ | $-2$ | $-1$ | $0$ | $1$ | $2$ | $3$ |
| $P(X=x)$ | $0.1$ | $k$ | $0.2$ | $2k$ | $0.3$ | $k$ |
If $X$ is a Poisson variate satisfying the condition $3 P(X=2)=P(X=4)$, then find $P(X=6)$.
DifficultTS EAMCET 2023
View SolutionVedclass 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