Irregular trends in a time series are caused by (A) Epidemics (B) Strikes (C) Festival season (D) Floods Choose the correct answer from the options given below:

Irregular trends in a time series are… - CUET UG 2025 Mathematics PYQ

CUET UG 2025 — Mathematics Statistics & Applications

2025mcqmedium

Irregular trends in a time series are caused by

(A) Epidemics

(B) Strikes

(D) Floods

Choose the correct answer from the options given below:

Official previous-year question

Held on 16 May 2025 · Verified 13 Jul 2026.

Options

A
(A), (B) and (D) only
B
(A), (B) and (C) only
C
(A), (B), (C) and (D)
D
(C) and (D) only

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Solution

A probability distribution table is given with some known values and some unknown values in terms of $k$ .

In any probability distribution, all probabilities must add up to $1$ .

Adding all the probabilities and setting them equal to 1:

$P(X=0) + P(X=1) + P(X=2) + P(X=3) + P(X=4) + P(X=5) = 1$

$0.1 + k + 0.2 + 2k + 0.3 + k = 1$

$0.6 + 4k = 1$

$4k = 0.4$

$k = 0.1$

$P(X < 3)$ means the probability that $X$ is less than 3.

This includes $X = 0, 1, 2$ (not 3).

$P(X < 3) = P(X=0) + P(X=1) + P(X=2)$

$P(X < 3) = 0.1 + k + 0.2$

$P(X < 3) = 0.1 + 0.1 + 0.2$

$P(X < 3) = 0.4$

Therefore, $P(X < 3) = 0.4$

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