Open In App
Related Articles

GATE | GATE CS 2008 | Question 29

Improve
Improve
Improve
Like Article
Like
Save Article
Save
Report issue
Report
Let X be a random variable following normal distribution with mean +1 and variance 4. Let Y be another normal variable with mean -1 and variance unknown If P(X <=-1) = P(Y >=2). the standard deviation of Y is (A) 3 (B) 2 (C) sqrt(2) (D) 1

Answer: (A)

Explanation:  X(1, 4), Y(-1, \triangledown^{2})  P(X\leq -1) Z = \frac{-1-1}{2} = -1  = P(Z< \leq -1) = P(Z \geq 1) = 0.5 - P(0<Z<1)  = 0.5 -0.3413 = 0.1587  If \triangledown = 3, then \hspace{0.2cm} P(Z\geq 2), Z=\frac{2+1}{3} = 1  = P(Z\geq 1) = 0.1587

Quiz of this Question

Last Updated : 14 Aug, 2020
Like Article
Save Article
Previous
Next
Share your thoughts in the comments
Similar Reads