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Recent questions tagged normal-distribution
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Memory Based GATE DA 2024 | Question: 11
Consider a dataset with a raw score \(x = 75\), a mean \(\mu = 70\), and a standard deviation \(\sigma = 5\). Calculate the Z-score using the formula \(z = \frac{x - \mu}{\sigma}\).
GO Classes
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GO Classes
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gate2024-da-memory-based
goclasses
probability
normal-distribution
numerical-answers
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Memory Based GATE DA 2024 | Question: 44
Consider the statements below related to probability distributions: \textbf{(S1):} For a Poisson distribution, the mean and variance are equal. \textbf{(S2):} For a standard normal distribution, the mean is 0, and the variance is 1. Which of the following ... true. S1 is true, but S2 is false. S1 is false, but S2 is true. Both S1 and S2 are false.
GO Classes
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Probability
Feb 5
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GO Classes
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gate2024-da-memory-based
goclasses
probability
poisson-distribution
normal-distribution
1
vote
1
answer
3
canvas
The weight of a light bulb has an average of 12.5 grs. with a standard deviation of 2. Assume the variable is normally distributed. If an inspector select randomly a sample of 30 bulbs ¿what is the probability of the weight of one bulb falls between 10 and 15 grs.?
Ernestogld
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Probability
Mar 10, 2023
by
Ernestogld
701
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probability
normal-distribution
1
vote
0
answers
4
GATE Applied Mock Test
3 -1 1 2
yashpaneliya
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Probability
Jan 24, 2022
by
yashpaneliya
548
views
probability
normal-distribution
random-variable
variance
1
vote
0
answers
5
NIELIT Scientist B 2020 November: 112
Let $X_1,\dots X_{50}$ be independent random variables following $N(0,1)$ distribution. Let $\Sigma _{i=1}^{50} X^2_i,$ and $E(Y)=a$ and $Var(Y)=b.$ Then, the ordered pair $(a,b)$ is: $(50,100)$ $(50,50)$ $(25,50)$ $(25,100)$
gatecse
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Unknown Category
Dec 9, 2020
by
gatecse
611
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nielit-scb-2020
normal-distribution
3
votes
1
answer
6
NIELIT 2018-24
If $f(x)=k$ exp, $\{ -(9x^2-12x+13)\}$, is a $p, d, f$ of a normal distribution ($k$, being a constant), the mean and standard deviation of the distribution: $\mu = \frac{2}{3}, \sigma = \frac{1}{3 \sqrt{2}}$ $\mu = 2, \sigma = \frac{1}{\sqrt{2}}$ $\mu = \frac{1}{3}, \sigma = \frac{1}{3 \sqrt{2}}$ $\mu = \frac{2}{3}, \sigma = \frac{1}{ \sqrt{3}}$
Arjun
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Probability
Dec 7, 2018
by
Arjun
1.6k
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nielit-2018
engineering-mathematics
probability
normal-distribution
2
votes
2
answers
7
Probability
In four tests taken by 450 students, marks are found to be normally distributed with mean and variance as given below Test Id Mean Variance 1 74 121 2 75 100 3 78 196 4 82 169 A has secured 80 in the first test, 81 in the second, 86 in the third and ... fourth. In which test did A actually perform best relative to other students. (A)Fourth Test (B)Third Test (C)Second Test (D)First Test
Ayush Upadhyaya
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in
Probability
Nov 13, 2018
by
Ayush Upadhyaya
1.7k
views
engineering-mathematics
probability
normal-distribution
3
votes
1
answer
8
GATE ME 2018 Normal Distribution
Let X1, X2 be two independent normal random variables with means μ1, μ2 and standard deviations σ1, σ2 respectively. Consider Y =X1-X2; µ1=µ2=1, σl=1, σ2=2. Then. (a) Y is normal distributed with mean 0 and variance 1 (b) Y is normally ... Y has mean 0 and variance 5, but is NOT normally distributed (d) Y has mean 0 and variance 1, but is NOT normally distributed
aditi19
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Probability
Oct 16, 2018
by
aditi19
3.7k
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probability
normal-distribution
0
votes
2
answers
9
Probability- Gravner- 76
Assume that $X$ is Normal with mean $\mu$ $=$ $2$ and variance $\sigma^2$ $=$ $25$. Compute the probability that $X$ is between $1$ and $4$.
Pooja Khatri
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in
Probability
Sep 26, 2018
by
Pooja Khatri
1.2k
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probability
gravner
engineering-mathematics
random-variable
normal-distribution
0
votes
2
answers
10
Probability- Gravner- 75.a
What is the probability that a Normal random variable differs from its mean $\mu$ by more than $\sigma$ ?
Pooja Khatri
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in
Probability
Sep 26, 2018
by
Pooja Khatri
609
views
gravner
probability
engineering-mathematics
random-variable
normal-distribution
4
votes
2
answers
11
Probability - Gravner-74
Let X be a $N(\mu , \sigma^2)$ random variable and let $Y = \alpha X+\beta$, with $\alpha$ > $0$. How is $Y$ distributed?
Pooja Khatri
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in
Probability
Sep 26, 2018
by
Pooja Khatri
721
views
probability
gravner
engineering-mathematics
random-variable
normal-distribution
1
vote
1
answer
12
ME 2014- Z score probability Normal-Distribution
A nationalized bank has found that the daily balance available in its saving bank accounts follows a normal distribution with a mean of Rs. 500 and a standard deviation of Rs. 50. The percentage of savings account holders who maintain ... Rs. 500 is _______________. Explain the calculation of the probability of Z score. Do GATE provide Z score table?
Tuhin Dutta
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in
Probability
Jan 23, 2018
by
Tuhin Dutta
1.8k
views
engineering-mathematics
probability
z-score
normal-distribution
3
votes
1
answer
13
Gate_other_branch_question
akash.dinkar12
asked
in
Probability
Oct 21, 2017
by
akash.dinkar12
300
views
probability
normal-distribution
48
votes
5
answers
14
GATE CSE 2017 Set 1 | Question: 19
Let $X$ be a Gaussian random variable with mean 0 and variance $\sigma ^{2}$. Let $Y$ = $\max\left ( X,0 \right )$ where $\max\left ( a,b \right )$ is the maximum of $a$ and $b$. The median of $Y$ is ______________ .
Arjun
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in
Probability
Feb 14, 2017
by
Arjun
20.3k
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gatecse-2017-set1
probability
numerical-answers
normal-distribution
0
votes
0
answers
15
any good link for studying about normal distribution
please provide a good link for normal distribution Thankyou
Akriti sood
asked
in
Unknown Category
Nov 25, 2016
by
Akriti sood
1.1k
views
engineering-mathematics
probability
normal-distribution
3
votes
1
answer
16
The The width of the slot of a duralumin is (in inches) normally distributed with μ=0.900 and σ=0.0030
Akriti sood
asked
in
Probability
Nov 24, 2016
by
Akriti sood
2.1k
views
probability
normal-distribution
4
votes
2
answers
17
ISRO2009-65
If the mean of a normal frequency distribution of $1000$ items is $25$ and its standard deviation is $2.5,$ then its maximum ordinate is $\frac{1000}{\sqrt{2 \pi} } e^{-25}$ $\frac{1000}{\sqrt{2 \pi} }$ $\frac{1000}{\sqrt{2 \pi} } e^{-2.5}$ $\frac{400}{\sqrt{2 \pi} }$
go_editor
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in
Probability
Jun 15, 2016
by
go_editor
3.4k
views
isro2009
statistics
normal-distribution
52
votes
3
answers
18
GATE CSE 2008 | Question: 29
Let $X$ be a random variable following normal distribution with mean $+1$ and variance $4$. Let $Y$ be another normal variable with mean $-1$ and variance unknown. If $P (X \leq -1) = P (Y \geq 2)$ , the standard deviation of $Y$ is $3$ $2$ $\sqrt{2}$ $1$
Kathleen
asked
in
Probability
Sep 12, 2014
by
Kathleen
23.4k
views
gatecse-2008
random-variable
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