PYQs Based Test - 11 : Engineering Mathematics

The probability density function of a random variable X is p${}_X$ (x) = e${}^{-x}$ for x ≥ 0 and 0 otherwise. The expected value of the function g${}_X$ (x) = e${}^{3x/4}$ is ___________.

The probability that a thermistor randomly picked up from a production unit is defective is 0.1. The probability that out of 10 thermistors randomly picked up, 3 are defective is

The angle between two vectors x_1 = {≤ft[ {*20c 2&6&14 } ]^T} and x_2 = {≤ft[ {*20c - 12&8&16 } ]^T} in radian is _________.

Let 𝑓₁(𝑧) = 𝑧² and 𝑓₂(𝑧) = z̅ be two complex variable functions. Here z̅ is the complex conjugate of z. Choose the correct answer.

A straight line of the form y = mx + c passes through the origin and the point (x, y) = (2, 6). The value of m is ________.