Home
Class 12
MATHS
Suppose a discrete random variable can o...

Suppose a discrete random variable can only take the values 0, 1, and 2. The probability mass function is defined by
`f(x)={{:((x^(2)+1)/k",", "for x=0,1,2"), (0, "otherwise"):}`
Find (i) the value of k (ii) cumculative distribution function (iii) `P(X ge 1)`.

Promotional Banner

Topper's Solved these Questions

  • MODAL QUESTION PAPER

    SURA PUBLICATION|Exercise PART - I|39 Videos

  • MODAL QUESTION PAPER

    SURA PUBLICATION|Exercise PART - II|20 Videos

  • MODAL QUESTION PAPER

    SURA PUBLICATION|Exercise SECTION - III|10 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    SURA PUBLICATION|Exercise ADDITIONAL QUESTIONS ( 5 MARKS)|6 Videos

  • ORDINARY DIFFERENTIAL EQUATIONS

    SURA PUBLICATION|Exercise ADDITIONAL QUESTIONS|24 Videos

Similar Questions

Explore conceptually related problems

If a discrete random variable can take only the values 0,1,2,3, the probability mass function is given by f(x) ={{:(k(x^2 +x+1)"," , "x=0,1,2,3"),(0",", "otherwise"):} Find K

If a discrete random variable can take only the values 0,1,2,3, the probability mass function is given by f(x) ={{:(k(x^2 +x+1)"," , "x=0,1,2,3"),(0",", "otherwise"):} Find Mean of the distribution .

If a discrete random variable can take only the values 0,1,2,3, the probability mass function is given by f(x) ={{:(k(x^2 +x+1)"," , "x=0,1,2,3"),(0",", "otherwise"):} Find cumulative distribution function

The probability density function of X is given by f(x)={{:(kxe^(-2x), "for " x gt 0), (0, "for " x le 0):} Find the value of k.

The probability density function of X is given by f(x) = {(ke^(-x/3),"for" " "xgt0),(0, "for" " " xlt=0):} Find (i) the value of k (ii) the distribution function (iii) P(X lt 3) (iv) P(5lt=X) (v) P(X lt=4) .

The probability density function of X is given by f(x)={{:(ke^(-x/3), "for " x gt 0), (0, "for " x le 0):} Find the value of k

For the random variable X with the given probability mass function as below, find the mean and variance. F(x)={{:(1/2e^(-x/2), "for " x gt 0), (0, "otherwise"):}