Home
Class 12
MATHS
A random variable X follows the followin...

A random variable X follows the following distribution
`{:(X=x_(i):,0,1,2,3),(P(X=x_(i)):,2//6,3//6,0//6,1//6,):}`
The mean and the variance are

A

only I is true

B

only II is true

C

both I and II are true

D

neither I nor II true

Text Solution

Verified by Experts

The correct Answer is:
C
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • THEORETICAL DISTRIBUTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) CHOOSE THE CORRECT ANSWER FROM THE ALTERNATIVES 1.2.3 OR 4 GIVEN (SET -2)|3 Videos

  • THEORETICAL DISTRIBUTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) CHOOSE THE CORRECT ANSWER FROM THE ALTERNATIVES 1.2.3 OR 4 GIVEN (SET -3)|4 Videos

  • THEORETICAL DISTRIBUTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1 (CHOOSE THE CORRECT ANSWER FROM THE ALTERNATIVE 1,2,3 OR 4 GIVEN )|153 Videos

  • THE PLANE

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET 4|4 Videos

  • THEORY OF EQUATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise SET - 4|4 Videos

Similar Questions

Explore conceptually related problems

A random variable X has the following distribution {:(x:,1,2,3,4),(P(X=x):,0.1,0.2,0.3,0.4):} Then its mean is

A random variable X has the following distribution {:(x:,1,2,3,4),(P(X=x):,k^(2),3k^(2),5k^(2),7k^(2)):} The value of k is

Knowledge Check

  • A random variable X has the following distribution {:(x,:-3,-2,-1,0,1,2,3),(P(X=x):,0.05,0.1,0.3,0,0.3,0.15,0.1):} The mean and variance are

    A
    `mu= 0.25, sigma^(2)=2.8875`
    B
    `mu=25, sigma^(2)=2.8`
    C
    `mu=0.17, sigma^(2)=3.125`
    D
    `mu=0.13, sigma ^(2)=0.654`

  • A random variable X has the following distribution {:(X=x_(1):,-2,-1,0,1,2,3),(P(X=x_(1)):,0.1,k,0.2,2k,0.3,k):} The value of k and its mean and variance are

    A
    0.1,1.0,0.85
    B
    0.5, 0.2, 2.1
    C
    0.21, 0.85, 2.16
    D
    0.1, 0.8, 2.16

  • A random variable X has the following distribution {:(x_(1):,0,1,2,3),(P(X=x_(1)):,2k^(2),3k^(2),5k^2,6k^(2)):} Then value of k and its mean are

    A
    `pm 1//4, 31//16`
    B
    `-1//7, 30//26`
    C
    `1//2, 25//15`
    D
    `1//8, 35//16`

    • Similar Questions

    Explore conceptually related problems

    A random variable has the following distribution. {:(x=x_(i),,-3,,-2,,-1,,0,,1,,2),(P(x=x_(i)),,0.1,,2K,,3K,,7K,,0.2,,0.1):} Then for the values, A = K, B = Mean, C = Variance, the ascending order is

    X is a random variable with distribution given below {:(x:,0,1,2,3),(P(X=x):,k,3k,3k,k):} The value of k and its variance are

    A random variable X has the following distribution {:(x,1,2,3,4),(P(X=x),c,2c,3c,4c):} Match the following . {:(I.,c=," "(a)1),(II.,"Mean"=," (b)0.1"),(III.,"Variance"=," (c)3"):}

    A random variable X has the following distribution . The mean and variance of x are

    Suppose that a random variable X follows Poisson distribution . If P(X=1)=P(X=2)then P(X=5)=

    Home
    Profile