Rajesh has just bought a $VCR$ from Maharashtra Electronics and the shop offers an after-sales service contract for Rs. $1000$ for the next five years. Considering the experience of $VCR$ users,the following distribution of maintenance expenses for the next five years is formed:
Expenses $0$ $500$ $1000$ $1500$ $2000$ $2500$ $3000$ Probability $0.35$ $0.25$ $0.15$ $0.10$ $0.08$ $0.05$ $0.02$
The expected value of the maintenance cost is:
| Expenses | $0$ | $500$ | $1000$ | $1500$ | $2000$ | $2500$ | $3000$ |
|---|---|---|---|---|---|---|---|
| Probability | $0.35$ | $0.25$ | $0.15$ | $0.10$ | $0.08$ | $0.05$ | $0.02$ |
The expected value of the maintenance cost is:
- ARs. $800$
- BRs. $770$
- CRs. $700$
- DRs. $900$
Explore More
Similar Questions
The cumulative distribution function (c.d.f.) $F(x)$ associated with the probability density function (p.d.f.) $f(x) = 3(1 - x^2)$ for $0 < x < 1$ and $f(x) = 0$ otherwise,is given by $F(x) = k(x - \frac{2x^3}{k})$. Find the value of $k$.
$A$ random variable $X$ takes the values $0, 1, 2$. Its mean is $1.2$. If $P(X=0)=0.3$,then $P(X=1)=$
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
$A$ random variable $X$ takes values $-1, 0, 1, 2$ with probabilities $\frac{1+3p}{4}, \frac{1-p}{4}, \frac{1+2p}{4}, \frac{1-4p}{4}$ respectively,where $p$ varies over $\mathbb{R}$. Then the minimum and maximum values of the mean of $X$ are respectively.
DifficultMHT CET 2024
View SolutionIf random variable $X$ is the waiting time in minutes for a bus and the probability density function of $X$ is given by $f(x) = \begin{cases} \frac{1}{5}, & 0 \leq x \leq 5 \\ 0, & \text{otherwise} \end{cases}$,then the probability of the waiting time being not more than $4$ minutes is = . . . . . . .
DifficultMHT CET 2016
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