Home
Class 12
MATHS
For the probability density function f(x...

For the probability density function f(x) =`{(2e""^(-2x),x gt0),(0,xlt=0):}` find F(2)

Text Solution

Verified by Experts

The correct Answer is:
`(e^(4)-1)/e^(4)`
Promotional Banner

Topper's Solved these Questions

  • SAMPLE PAPER -13 (UNSOLVED)

    FULL MARKS|Exercise PART-III- III. Answer any seven questions. Question No. 40 is compulsory.|15 Videos
  • SAMPLE PAPER -13 (UNSOLVED)

    FULL MARKS|Exercise PART-IV IV. Answer all the questions.|9 Videos
  • SAMPLE PAPER -13 (UNSOLVED)

    FULL MARKS|Exercise PART-IV IV. Answer all the questions.|9 Videos
  • SAMPLE PAPER -13

    FULL MARKS|Exercise PART-I (CHOOSE THE CORRECT ANSWER. ANSWER ALL THE QUESTION)|1 Videos
  • SAMPLE PAPER -15 ( UNSOLVED)

    FULL MARKS|Exercise PART -IV|7 Videos

Similar Questions

Explore conceptually related problems

For the function f(x)={{:(x+2", "xgt0),(x-2", "xlt0):}

A continuous random varibale X has probability density function f(x)=kx^(2) 0 le x lt 1 find k (X gt6)

The time to failure in thousands of hours of an electronic equipment used in a manufactured computer has the density function f(x)={{:(3e^(-3x), x gt 0), (0, "elsewhere"):} Find the expected life of this electronic equipment.

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.

Find the mean of a random variable X, whose probability density function is f(x)={{:(lambdae^(-lambdax), "for " x ge 0), (0, "otherwise"):} .

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 distribution function

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