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Standard Univariate Distributions - Statistics Previous Year Questions

Practice Standard Univariate Distributions - Statistics previous year questions organised from real papers, with year-wise coverage and clear topic navigation.

8Papers

8Years

16Questions

1Topics

Standard Univariate Distributions question pattern

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Questions by year

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Difficulty distribution

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16questions

Medium 15 93.8%

Easy 1 6.3%

Question type distribution

MCQ, numerical, multiple-select and other formats found in these papers.

16questions

MCQ 10 62.5%

Numerical Answer Type (NAT) 5 31.3%

MSQ 1 6.3%

Subject weightage

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Statistics

16 Qs

Most asked topics

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Standard Univariate Distributions

16 Qs

Subtopic coverage

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Continuous Probability Distributions

10 Qs

Discrete Probability Distributions

6 Qs

Paper coverage

Question coverage for the most populated papers. Every active PYP paper remains listed below.

Statistics (ST) 2026

1 Qs

Statistics (ST) 2025

2 Qs

Statistics (ST) 2024

3 Qs

Statistics (ST) 2023

3 Qs

Statistics (ST) 2022

3 Qs

Statistics (ST) 2021

2 Qs

Statistics (ST) 2020

1 Qs

Statistics (ST) 2019

1 Qs

Browse by subtopics

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Continuous Probability Distributions

Explore previous-paper coverage, trends and focused practice for Continuous Probability Distributions.

10 questions7 papers7 years

Discrete Probability Distributions

Explore previous-paper coverage, trends and focused practice for Discrete Probability Distributions.

6 questions5 papers5 years

Included previous year papers

Newest papers appear first. Search these papers or sort by year and name.

Paper name	Year	PDF
Statistics (ST) 20262026 1 questions in this view	2026	ExamElite PDFs ExamElite solutions Official documents Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Statistics (ST) 20252025 2 questions in this view	2025	ExamElite PDFs ExamElite solutions Official documents Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Statistics (ST) 20242024 3 questions in this view	2024	ExamElite PDFs ExamElite solutions Official documents Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Statistics (ST) 20232023 3 questions in this view	2023	ExamElite PDFs ExamElite solutions Official documents Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Statistics (ST) 20222022 3 questions in this view	2022	ExamElite PDFs ExamElite solutions Official documents Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Statistics (ST) 20212021 2 questions in this view	2021	ExamElite PDFs ExamElite solutions Official documents Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Statistics (ST) 20202020 1 questions in this view	2020	ExamElite PDFs ExamElite solutions Official documents Official question paperOriginal authority-issued PDF Official Download
Statistics (ST) 20192019 1 questions in this view	2019	ExamElite PDFs ExamElite solutions Official documents Official question paperOriginal authority-issued PDF Official Download

Sample previous year questions

A varied preview from the papers represented in this selection, with every available option.

2019 · Statistics · Standard Univariate Distributions · Continuous Probability Distributions

Statistics (ST) 2019

Let \(X\) and \(Y\) be two independent random variables with \(\chi_m^2\) and \(\chi_n^2\) distributions, respectively, where \(m\) and \(n\) are positive integers. Then which of the following statements is true?

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2020 · Statistics · Standard Univariate Distributions · Continuous Probability Distributions

Statistics (ST) 2020

Let \(X_1, \dots, X_{20}\) be independent and identically distributed random variables with the common probability density function \(f(x) = \frac{1}{6}e^{-\frac{|x-2|}{3}}, \quad x \in (-\infty, \infty).\) Then the distribution of the random variable \(W = \frac{2}{3}\sum_{i=1}^{20} |X_i - 2|\) is

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2021 · Statistics · Standard Univariate Distributions · Discrete Probability Distributions

Statistics (ST) 2021

Let \( X \) be a random variable having Poisson distribution such that \( E(X^2) = 110 \). Then which one of the following statements is NOT true?

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2022 · Statistics · Standard Univariate Distributions · Continuous Probability Distributions

Statistics (ST) 2022

Let \(X\) and \(Y\) be two independent exponential random variables with \(E(X^2) = \frac{1}{2}\) and \(E(Y^2) = \frac{2}{9}\). Then \(P(X < 2Y)\) (rounded off to two decimal places) is equal to ______

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2023 · Statistics · Standard Univariate Distributions · Continuous Probability Distributions

Statistics (ST) 2023

Let \( X \) be a random variable with probability density function \[ f(x) = \begin{cases} \alpha \lambda x^{\alpha-1} e^{-\lambda x^\alpha} & \text{if } x > 0 \\ 0 & \text{otherwise}, \end{cases} \] where \( \alpha > 0 \) and \( \lambda > 0 \). If the median of \( X \) is 1 and the third quartile is 2, then \( (\alpha, \lambda) \) equals

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2024 · Statistics · Standard Univariate Distributions · Continuous Probability Distributions

Statistics (ST) 2024

Let \( X \) be a random variable with probability density function
\[ f(x) = \begin{cases} \frac{\Gamma(\alpha+\beta)}{\Gamma(\alpha)\Gamma(\beta)} x^{\alpha-1} (1-x)^{\beta-1} & \text{if } 0 < x < 1 \\ 0 & \text{otherwise}, \end{cases} \]
where \( \alpha > 0, \beta > 0 \). If \( E(X) = \frac{1}{3} \) and \( E(X^2) = \frac{1}{6} \), then \( \alpha + 3\beta \) equals

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Standard Univariate Distributions - Statistics Previous Year Questions