Question

Let random variable x be a continous random variable and it’s probabilty density function is given...

Let random variable x be a continous random variable and it’s probabilty density function is given as;
f(x) = 3x^2 , 0 < x < 1
So find the probabilty that the random variable x exceeds the value of 1/2
(single random variable question)

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Let X be a random variable with th peobability density function given by

The probability that random variable X exceeds the value of 1/2 is obtained by considering the probability of X>1/2. X can take any value greater than 1/2 but we consider only upto the highest value it can take which is 1 as the value of density f(x), outside it is 0. It indicates that the area of the region for X>1/2 under X lies in (0, 1) which is given by P(X>1/2) and can be obtained as follows

Therefore the probability that X exceeds the value of 1/2 is 0.875    

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
2. Let the probability density function (pdf) of random variable X be given by:                           ...
2. Let the probability density function (pdf) of random variable X be given by:                            f(x) = C (2x - x²),                         for 0< x < 2,                         f(x) = 0,                                       otherwise      Find the value of C.                                                                           (5points) Find cumulative probability function F(x)                                       (5points) Find P (0 < X < 1), P (1< X < 2), P (2 < X <3)                                (3points) Find the mean, : , and variance, F².                                                   (6points)
Let X be a continuous random variable with the following probability density function: f(x) = e^−(x−1)...
Let X be a continuous random variable with the following probability density function: f(x) = e^−(x−1) for x ≥ 1; 0 elsewhere (i) Find P(0.5 < X < 2). (ii) Find the value such that random variable X exceeds it 50% of the time. This value is called the median of the random variable X.
Let X be a random variable with probability density function given by f(x) = 2(1 −...
Let X be a random variable with probability density function given by f(x) = 2(1 − x), 0 ≤ x ≤ 1,   0, elsewhere. (a) Find the density function of Y = 1 − 2X, and find E[Y ] and Var[Y ] by using the derived density function. (b) Find E[Y ] and Var[Y ] by the properties of the expectation and the varianc
The density function of random variable X is given by f(x) = 1/4 , if 0...
The density function of random variable X is given by f(x) = 1/4 , if 0 Find P(x>2) Find the expected value of X, E(X). Find variance of X, Var(X). Let F(X) be cumulative distribution function of X. Find F(3/2)
Let the probability density function of the random variable X be f(x) = { e ^2x...
Let the probability density function of the random variable X be f(x) = { e ^2x if x ≤ 0 ;1 /x ^2 if x ≥ 2 ; 0 otherwise} Find the cumulative distribution function (cdf) of X.
Let X be a random variable with probability density function fX (x) = I (0, 1)...
Let X be a random variable with probability density function fX (x) = I (0, 1) (x). Determine the probability density function of Y = 3X + 1 and the density function of probability of Z = - log (X).
Let X be the random variable with probability density function f(x) = 0.5x for 0 ≤...
Let X be the random variable with probability density function f(x) = 0.5x for 0 ≤ x  ≤ 2 and zero otherwise. Find the mean and standard deviation of the random variable X.
Let X be a random variable with density function f(x) = 1/4 for -3 <= x...
Let X be a random variable with density function f(x) = 1/4 for -3 <= x <= 5, and 0 otherwise. Find the density of Y = X^2 and of Y = (X - 1)^2, of Y = |X-1|, and of Y=(X-1)^4.
1 (a) Let f(x) be the probability density function of a continuous random variable X defined...
1 (a) Let f(x) be the probability density function of a continuous random variable X defined by f(x) = b(1 - x2), -1 < x < 1, for some constant b. Determine the value of b. 1 (b) Find the distribution function F(x) of X . Enter the value of F(0.5) as the answer to this question.
Let X be a random variable with density function f(x) = 2 5 x for x...
Let X be a random variable with density function f(x) = 2 5 x for x ∈ [2, 3] and f(x) = 0, otherwise. (a) (6 pts) Compute E[(X − 2)3 ] without attempting to find the density function of Y = (X − 2)3 . (b) (6 pts) Find the density function of Y = (X − 2)3
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT