MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Standard Deviation

Let 'X' be ra...

Question

Let 'X' be random variable with mean 5 and variance 3. A new random varaibel 'Y' is defined as Y = 5X + 9, then variance of Y is equal to _____
75

Open in App

Solution

The correct option is A 75
$σ_{Y}^{2} = (5)^{2} \times σ_{X}^{2} = 25 \times 3 = 75$

Suggest Corrections

thumbs-up

0

Similar questions

Q. X and Y are two independent continuous random variables with variances 10 and 5 respectively. Another random variable Z is defined as Z=(X+Y-5). If the mean values of X and Y are 1 and 2 respectively, then the variance of Z will be_____.

Let X be a Gaussian random variable mean 0 and variance $σ^{2} .$ Let Y = max(X, 0) where max (a, b) is the maximum of a and b. Th emedian of Y is

Let X be a zero mean unit variance Gaussian random variable. E[|X|] is equal to .

Q. If the variance of the random variable

X

4

, then the variance of the random variable

5 X + 10

Q. If the variance of a random variable X is

σ^{2}

, then the variance of the random variable X-

5

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Measure of Dispersion

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Standard Deviation

Standard IX Mathematics

Join BYJU'S Learning Program

CrossIcon