Register

GATE BT 2017 | Question: 27

• recategorized by
0 0 votes

The distribution of marks scored by a large class in an exam can be represented as a normal distribution with mean $\mu$ and standard deviation $\sigma$. In a follow-up exam in the same class, everyone scored $5$ marks more than their respective score in the earlier exam. For this follow-up exam, the distribution of marks can be represented as normal distribution with mean $\mu_2$ and standard deviation $\sigma_2$. Which one of the following is correct?

  1. $\mu=\mu_2; \sigma>\sigma_2$
  2. $\mu<\mu_2; \sigma>\sigma_2$
  3. $\mu>\mu_2; \sigma<\sigma_2$
  4. $\mu<\mu_2; \sigma=\sigma_2$

Please log in or register to answer this question.

Voting & Accepting an answer helps improve the community
Answer:

Related questions

0 0 votes
0 0 answers
gatecse asked Feb 20, 2018
GATE2018-22
The variable $z$ has a standard normal distribution. If $P(0 \leq z \leq 1)= 0.34$ then $P(z^2 1)$ is equal to (up to two decimal places) ____________
0 0 votes
0 0 answers
Milicevic3306 asked Mar 26, 2018
GATE BT 2017 | Question: 25
At the transcription start site of a gene, any of the four nucleotides can occur with equal probability $p$. The Shannon Entropy $S$, given by $S= – \Sigma_{i=1}^4 p_i \l...
0 0 votes
0 0 answers
Milicevic3306 asked Mar 26, 2018
GATE BT 2017 | Question: 47
For the probability density $P(x) = 0.5e^{-0.5x}$, the integral $\displaystyle \int_0^{\infty}P(x)dx =$ __________
0 0 votes
1 1 answer
gatecse asked Feb 23
GATE BT 2026 | Question: 21
The mean of the following series is $\_\_\_\_$. (rounded off to three decimal places)$0.01,0.02,0.03, \cdots \cdots, 1$ 
1 1 vote
0 0 answers
admin asked Mar 25, 2024
GATE BT 2024 | Question: 21
The six faces of a cube (die) are numbered as $1,2,3,4,5$ and $6$, and it is rolled once. An outcome is the observed number on the top face. If the probability of getting...