Home
Class 12
MATHS
A commuter train arrives punctually at a...

A commuter train arrives punctually at a station every half hour. Each morning, a student leaves his house to the train station. Let x denote the amount of time, in minutes, that the student waits for the train from the time he reaches the train station. It is known that the pdf of X is `f(x)={{:(1/30, 0 lt x lt 30), (0, "elsewhere"):}`. Obtain interpret the expected value of the random variable X.

Promotional Banner

Topper's Solved these Questions

  • PROBABILITY DISTRIBUTIONS

    PREMIERS PUBLISHERS|Exercise EXERCISE 11.5|18 Videos

  • PROBABILITY DISTRIBUTIONS

    PREMIERS PUBLISHERS|Exercise EXERCISE 11.6|20 Videos

  • PROBABILITY DISTRIBUTIONS

    PREMIERS PUBLISHERS|Exercise EXERCISE 11.3|16 Videos

  • ORDINARY DIFFERENTIAL EQUATIONS

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE (ANSWER THE FOLLOWING QUESTIONS )|22 Videos

  • THEORY OF EQUATIONS

    PREMIERS PUBLISHERS|Exercise Problems for practice (Answer the following)|21 Videos

Similar Questions

Explore conceptually related problems

If the p.d.f. f(x)={{:(x/2",", 0 lt x lt 2), (0",", "elsewhere"):} then E(3x^(2)-2x)= ________.

Find the mean and variance of the distribution f(x) = {(3e""^(-3x),0lt xltoo),(0,"elsewhere"):}

For the probabilty density function f(x) [ {:(,cx(1-x)^(3),0 lt x lt 1),(,0,"elsewhere"):} find the constant c.

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.

A continuous random variable x has the p.d.f defined by f(x) = {(Ce""^(-ax),0ltxltoo),(0,"elsewhere"):} find the value of C if a gt 0.

Let f(x)={:{(x+1,x gt 0),(x-1,x lt 0):}