Home
Class 12
MATHS
If X is the random variable with distri...

If X is the random variable with distribution function F(x) given by,
`F(x)={{:(0, x lt 0), (1/2(x^(2)+x), 0 le x lt 1), (1, x le 1):}`
then find (i) the probability density function f(x) (ii) `P(0.3 le X le 0.6)`

Text Solution

Verified by Experts

The correct Answer is:
0.285
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY DISTRIBUTIONS

    SURA PUBLICATION|Exercise EXERCISE 11.4|11 Videos
  • PROBABILITY DISTRIBUTIONS

    SURA PUBLICATION|Exercise EXERCISE 11.5|13 Videos
  • PROBABILITY DISTRIBUTIONS

    SURA PUBLICATION|Exercise EXERCISE 11.2|9 Videos
  • ORDINARY DIFFERENTIAL EQUATIONS

    SURA PUBLICATION|Exercise ADDITIONAL QUESTIONS|24 Videos
  • THEORY OF EQUATIONS

    SURA PUBLICATION|Exercise 4 MARKS|5 Videos

Similar Questions

Explore conceptually related problems

If X is the random variable with distribution function F(x) given by , F(x) = {{:(0,xlt0),(x^2,0lt=xlt1),(1,xgt1):} then find (i) the Probability density function f(x)

If X is the random variable with distribution function F(x) given by , F(x) = {(o,xlt0),(x,0lt=xlt1),(1,1lt=x):} then find (i) the probability density function f(x) (ii) P(0.2lt=Xlt=0.7) .

If X is the random varibale with distribution function F(x) given by F(x)={{:(0,-inftyltxlt0),(3/2(x-(x^(3))/(3)),0lexlt1),(1,3lexltinfty):} Find probability density function f(x)

If X is the random variable with probability density function f(x) is given by f(x)={{:(x+1, -1 le x lt 0), (-x+1, 0 le x lt 1), (0,"otherwise"):} then find (i) the distribution function F(x) (ii) P(-0.5 le X le 0.5)

If X is the random varibale with distribution function F(x) given by F(x)={{:(0,-inftyltxlt0),(3/2(x-(x^(3))/(3)),0lexlt1),(1,3lexltinfty):} Find P(0.3 lt x lt 0.5)

For the distribution function given by F(x)={{:(0",", x lt 0), (x^(2)",", 0 le x le 1), (1",", x gt 1):} . Find the density function. Also evaluate (i) P(0.5 lt x lt 0.75) (ii) P(x le 0.5) (iii) P(X gt 0.75)

If X is the random variable with porbability density function f(x) given by f(x)={(x-1,1lt=xlt2),(-x+3,2lt=xlt3),(0,"otherwise"):} find (i) the distribution function F(x) (ii) P (1.5lt=X lt=2.5)