Let X be a random variable with density function:

f(x) = x if x ∈ (0, 1]

2 − x if x ∈ (1, 2]

0 the rest

Determine the distribution and density functions of the random variables:

a) Y = X + 1;

b) Y = −1/2X;

c) Y = X^2;

Acompressor receives the shaft work to decrease the pressure of the fluid. a)- true b)- false

Ifa component is made of two or more materials with different modulus of elasticity (e), it is called a composite member and we calculate the factor·n". mention the formula for calculating n". also, ifn> 1, explain what will happen to the 1. transformed.gi) ifn 1, what will happen to the material when transformed material when

Compute the pressure drop of 30°c air flowing with a mean velocity of 8 m/s in a circular sheet-metal duct 300 mm in diameter and 15 m long. use a friction factor, f 0.02, and pair = 1.1644 kg/m a. 37.26 pa b. 25.27 pa n c. 29.34 pa d. 30.52 pa