Assuming the same rate of change continues for the following data: | Year (x) | 2019 | 2020 | 2021 | 2022 | 2023 | |---|---|---|---|---|---| | Profit(in Percentage) (y) | 38 | 40 | 65 | 72 | 69 | The equation of the straight line trend using the least square method is:

The bag contains: - 4 red balls - 6 black balls - Total = 10 balls Two balls are drawn in succession without replacement. When the first ball is drawn, there are 10 balls total with 4 red balls. $P(\text{First ball is Red}) = \frac{4}{10}$ After drawing one red ball, the bag contains: - 3 red balls - 6 black balls - Total = 9 balls $P(\text{Second ball is Black | First was Red}) = \frac{6}{9}$ For both events to occur: $P(\text{Red first AND Black second}) = \frac{4}{10} \times \frac{6}{9}$ $= \frac{24}{90}$ $= \frac{4}{15}$ Therefore, the probability is $\frac{4}{15}$.

Assuming the same rate of change… - CUET UG 2025 Mathematics PYQ

CUET UG 2025 — Mathematics Statistics & Applications

2025mcqmedium

Assuming the same rate of change continues for the following data:

Year (x)	2019	2020	2021	2022	2023
Profit(in Percentage) (y)	38	40	65	72	69

The equation of the straight line trend using the least square method is:

Official previous-year question

Held on 3 Jun 2025 · Verified 13 Jul 2026.

Options

A
$y = 9.4x + 18940.6$
B
$y = 9.4x - 18940.6$
C
$y = 9.4x + 56.8$
D
$y = 9.4x - 56.8$

Did you get this right?

Solution

The bag contains:

4 red balls
6 black balls
Total = 10 balls

Two balls are drawn in succession without replacement.

When the first ball is drawn, there are 10 balls total with 4 red balls.

$P(\text{First ball is Red}) = \frac{4}{10}$

After drawing one red ball, the bag contains:

3 red balls
6 black balls
Total = 9 balls

$P(\text{Second ball is Black | First was Red}) = \frac{6}{9}$

For both events to occur:

$P(\text{Red first AND Black second}) = \frac{4}{10} \times \frac{6}{9}$

$= \frac{24}{90}$

$= \frac{4}{15}$

Therefore, the probability is $\frac{4}{15}$ .

Your note

CUET UG Statistics & Applications in other years

Statistics & Applications 2024

More CUET UG Statistics & Applications questions

The rise in prices before Diwali is an example of

2025easy

Mr. X purchased a house from a company for ₹ 7,00,000 and made a down payment of ₹ 1,50,000. He repays the balance in 25 years by equal monthly installments at 9 % per annum compounded monthly. The equated monthly installment (EMI) is: [Given that : (1.0075)⁻³⁰⁰ = 0.106]

2025medium

Consider the following hypothesis $H_0: \mu = 315$ and $H_a: \mu \neq 315$ A sample of 60 provided a sample mean of 324.6. The standard deviation ($\sigma$) is 14 and level of significance $\alpha = 0.05$. Then the confidence interval is: [Given: $Z_{a/2}{\frac{14}{\sqrt60}} = 3.54$]

2025medium

With reference to sampling, which of the following are correct? (A) Simple random sampling is probability sampling (B) Snow-ball sampling is non-probability sampling (C) Stratified sampling is probability sampling (D) Cluster sampling is non-probability sampling Choose the correct answer from the options given below:

2025medium

The effective rate equivalent to a nominal rate of 12% compounded quarterly is: (Given $(1.03)^4=1.1256$)

2025medium

View all Statistics & Applications questions