Success TrackerSuccess Tracker
Log inSign up

GATE EC 2014 Set 2 — Question 59

Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.
NAT+2 / -0MediumRandom VariablesProbabilityEngineering MathematicsSampling, Quantization & EncodingSource Coding & Baseband TransmissionCommunications

Communications → Probability → Random Variables

Last updated

Question

The input to a 1-bit quantizer is a random variable XX with pdf fX(x)=2e−2xf_X(x) = 2e^{-2x} for x≥0x \geq 0 and fX(x)=0f_X(x) = 0 for x<0x < 0. For outputs to be of equal probability, the quantizer threshold should be _____.
Your answer

Enter a number. Decimals, negative values and scientific notation are accepted.

The solution stays hidden until you check.

Continue learning with Success Tracker

A step still unclear? Work through it with support

Use Success Tracker to ask about the reasoning, then try another GATE EC question to check your understanding.

AI-powered practice· Unlimited practice on eligible plans
PYQs with solutions
Attempt available previous-year questions, then compare your reasoning with the worked solution. Coverage varies by stream.
Practice that adapts
Choose a topic, work on weaker areas and bookmark questions to revisit. Your attempts feed your progress tracking.
AI doubt support
Ask follow-up questions about a step or concept while practising, instead of stopping at the final answer.

Unlimited practice is available on eligible plans. Free practice and AI usage have limits; check the current plan allowances before choosing.

Start with a free accountView plans and allowances

This page stays readable without an account. AI responses can be wrong; check them against the solution and source material.

More questions on Probability

2026 Set 1 Q11Consider the differential equation w⃗˙=Aw⃗\dot{\vec{w}} = A\vec{w}, with…2026 Set 1 Q12A surface is given by z2=2x2−y2z^2 = 2x^2 - y^2 and n⃗\vec{\mathbf{n}} and −n⃗-\vec{\mathbf{n}} are unit…2026 Set 1 Q22Consider a discrete memoryless source with an alphabet of four source symbols. s(t)s(t) is a…2026 Set 1 Q23The relation between the input current (II) and the output voltage (VV) of a circuit is governed…2026 Set 1 Q26Consider the matrix M=[211130−1ab]M = \begin{bmatrix} 2 & 1 & 1 \\ 1 & 3 & 0 \\ -1 & a & b \end{bmatrix}. Which…