Home
Class 12
MATHS
The probability function of a random var...

The probability function of a random variable X is given by
`p(x)=(1)/(3)`, if x = -1, 0, 1
=0, otherwise.
Find the distribution function of X.

Text Solution

Verified by Experts

The correct Answer is:
`{:(x,,-1,,01,,),(P(X=x),,1//3,,1//3,,1//3):}`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • RANDOM VARIABLE

    AAKASH SERIES|Exercise EXERCISE - I|33 Videos

  • RANDOM VARIABLE

    AAKASH SERIES|Exercise EXERCISE - II|76 Videos

  • RANDOM VARIABLE

    AAKASH SERIES|Exercise EXERCISE-3.3 (LONG ANSWER QUESTIONS)|10 Videos

  • QUADRATIC EQUATIONS & EXPRESSIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|88 Videos

  • RANDOM VARIABLES

    AAKASH SERIES|Exercise Exercise 4.4|9 Videos

Similar Questions

Explore conceptually related problems

The probability distribution of a random variable X is given below. Find mean and variance of X.

The probability distribution of a random variable X is given below. Find k, mean and variance of X

Knowledge Check

  • If the probability distribution of a random variable X is given by

    A
    `3`
    B
    `9/4`
    C
    `3/2`
    D
    `3/4`

  • If the probability function of a random variable X is defined by P(X=k)=a((k+1)/(2^(k))) for k=0,1,2,3,4,5, then the probability that X takes a prime value is

    A
    `(13)/(20)`
    B
    `(23)/(60)`
    C
    `(11)/(20)`
    D
    `(19)/(60)`

  • The probability distribution of a random variable X is given by {:(X=x,0,1,2,3,4),(P(X=x),0.4,0.3,0.1,0.1,0.1):} The variance of X is

    A
    `1.76`
    B
    `2.45`
    C
    `3.2`
    D
    `4.8`

    • Similar Questions

    Explore conceptually related problems

    is the probability distribution of a random variable X. Find the variance of X.

    is the probability distribution of a random variable X. Find the variance of X.

    The probability distribution of a random variable X is given below. Find the value of k, mean, also find variance of X.

    The probability function of a random variable X is given by P(X = k ) = ck^(2) , where c is a constant and k in {0,1,2,3,4 } , If sigma^(2) is the variance of X and mu is the mean of X, then singma^(2) + mu^(2) =

    The prabability distribution of a random variable x is given below {:(x=k,0,1,2,3,4),(p(x=k),0.1,0.4,0.3,0.2,0):} The variance of X is

    Home
    Profile