PYQs Based Test - 10 : Engineering Mathematics

The probability that a communication system will have high fidelity is 0.81. The probability that the system will have both high fidelity and high selectivity is 0.18. The probability that a given system with high fidelity will have high selectivity is

Two bags A and B have equal numbers of balls. Bag A has 20% red balls 80% green balls. Bag B has 30% red balls, 60% green balls and 10% yellow balls. Contents of Bags A and B are mixed thoroughly, and a ball is randomly picked from the mixture. What is the chance that the ball picked is red?

In the neighbourhood of z = 1, the function f(z) has a power series expansion of the form

𝑓(𝑧) = 1 + (1 − 𝑧) + (1 − 𝑧)² + ...∞

Then f(z) is

A box has 8 red balls and 8 green balls. Two balls are drawn randomly is succession from the box without replacement. The probability that the first ball drawn is red and the second ball drawn is green is

Consider the recursive equation Xₙ₊₁ = Xₙ – h (F(Xₙ)-Xₙ), with initial condition X₀ = 1 and h > 0 being a very small valued scalar. This recursion numerically solves the ordinary differential equation