Skip to content
We use only essential cookies to keep you signed in and remember your preferences. See our Cookie Policy.
TestStop
MocksPracticeResourcesIndiaBlogPricing
Sign in
Questions › DSE › DSE 2019 › Q4
0 marksStatistics › Random variables and standard distributions › The normal distributionEasyabout 2 min

DSE 2019 Question 4: Random variables and standard distributions

A random variable XXX has a standard normal distribution. What is the closest guess to the probability that XXX lies in the interval [2,3][2,3][2,3]?

Tap an option to check your answer.

Answer and worked solution

Checking your account…

Plain-text version

A random variable X has a standard normal distribution. What is the closest guess to the probability that X lies in the interval [2,3]? (A) 0.05 (B) 0.001 (C) 0.25 (D) 0.025

Random variables and standard distributions has come up 173 times in 7 exams since 2005.

What this question tests

This question is on The normal distribution, part of Random variables and standard distributions in Statistics.

The bell curve: standardising, tail probabilities and approximations.

TestStop has 20 past-paper questions on this subtopic; the nearest in year are below.

  • IIT JAM 2021 · Q57Let X₁, X₂, X₃, X₄ be independent standard normal variables and Y = (X₁ + X₂)² + (X₃ + X₄)². The variance of…
  • IIT JAM 2022 · Q31Let X ~ N(μ_X, σ_X²) and Y ~ N(μ_Y, σ_Y²). Which of the following is/are NOT correct?
Practise Random variables and standard distributionsMore on The normal distribution

Similar questions from other papers

  • CUET-PG 2026 · Q35Given below are two statements: Assertion A: A random variable is a numerical description of the outcome of an experiment. Reason R: The particular numerical value of a…
  • GATE 2026 · Q41Suppose, a random variable X follows a Poisson distribution with parameter λ=25. The coefficient of variation of the distribution is (rounded off to two decimal places)
  • IIT JAM 2026 · Q42It is given that Prob(-1≤ z≤ 1)=0.683, Prob(-2≤ z≤ 2)=0.954, and Prob(-3≤ z≤ 3)=0.997, when z follows a standard normal distribution. If X follows a normal distribution…
  • CUET-PG 2025 · Q20Suppose that the random variable X takes on the values: -1, 0, and 2 with probability 1/8, 1/2 and 3/8. Find the expected value of X.
  • GATE 2025 · Q41If X is a continuous random variable whose probability density function is given by f_X(x) = { 1/x² for 1 < x < ∞; 0 elsewhere } Then the median of X is (in integer)

Question from the DSE 2019 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.