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Continuous Probability Distributions MCQs for Competitive Exams

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Continuous Probability Distributions MCQs for Competitive Exams

Practice with answers, explanations, and exam-focused revision notes.

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Topic Notes: Continuous Probability Distributions

These notes summarize the key preparation context before you attempt the MCQs. Review the topic focus, then practice the questions below with answers and explanations.

Quick Overview

Continuous Probability Distributions MCQs in Statistics are useful for candidates who need targeted practice for CSS, PMS, FPSC, PPSC, NTS, entry tests, and other competitive exams in Pakistan. This topic page is designed for quick revision, repeated practice, and exam-focused preparation.

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1
Which probability distribution simplifies to the standard Cauchy distribution when the degrees of freedom parameter n equals 1?
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2
Which probability distribution is characterized by two distinct degrees of freedom, denoted as n1 and n2?
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3
What is the total area under the curve of a probability density function?
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4
Identify the probability density function defined by f(x) = 1/(B(l,m)) * x^(l-1) * (1-x)^(m-1) for 0 <= x <= 1.
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5
The mode of which distribution is related to the square root of 1/2?
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6
Calculate the variance of a continuous uniform distribution defined on the interval [a, b] where a = 4 and b = 5.
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7
What is the formula for the variance of a random variable X following a Gamma distribution with parameters n and μ?
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8
For which probability distribution is the mean equal to 1/(m-1)?
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9
Given the probability density function f(x) = 1/2 * exp(-|x|) for x in the range (-infinity, infinity), what is the mean deviation?
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10
The mode of which distribution is expressed by the formula (l-1)/(m+1)?
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