MCQ 11 Mark
If the distribution of normal variable is shown as $N(20,4)$ then which of the following intrvals includes $99.73\%$ of observations$ ?$
- A
$(18, 22)$
- B
$(16, 24)$
- ✓
$(14, 26)$
- D
$(12, 28)$
AnswerCorrect option: C. $(14, 26)$
View full question & answer→MCQ 21 Mark
For a normal distribution, approximate value of mean deviation is $20.$ Which of the following is the value of quartile deviation ?
- A
$\frac{25}{3}$
- B
$\frac{32}{3}$
- C
$24$
- ✓
$\frac{50}{3}$
AnswerCorrect option: D. $\frac{50}{3}$
View full question & answer→MCQ 31 Mark
Which of the following is approximate value of quartile deviation for standard normal variable ?
- A
$\frac{2}{3}\sigma$
- ✓
$\frac{2}{3}$
- C
$\frac{4}{5}\sigma$
- D
$\frac{4}{5}$
AnswerCorrect option: B. $\frac{2}{3}$
View full question & answer→MCQ 41 Mark
Normal distribution is a probability distribution of which type of random variable?
- A
- ✓
Continuous random variable
- C
- D
AnswerCorrect option: B. Continuous random variable
View full question & answer→MCQ 51 Mark
State the symbol for the probability density function of normal distribution.
- A
$P (x)$
- B
$R (x)$
- ✓
$F(X)$
- D
$F(Z)$
AnswerCorrect option: C. $F(X)$
View full question & answer→MCQ 61 Mark
What is the value of $\pi$ in the probability density function of normal distribution?
- ✓
$3.1416$
- B
$2.7183$
- C
$3.7183$
- D
$3.1614 .$
AnswerCorrect option: A. $3.1416$
View full question & answer→MCQ 71 Mark
What is the value of $“e”$ in the probability density function of a normal distribution?
- A
$3.1416$
- B
$3.8271$
- ✓
$2.7183$
- D
$2.1614$
AnswerCorrect option: C. $2.7183$
View full question & answer→MCQ 81 Mark
Normal distribution is denoted by which symbol?
- A
$N(\mu, \sigma)$
- ✓
$N\left(\mu, \sigma^2\right)$
- C
$N^2(\mu, \sigma)$
- D
$N\left({ }_\mu{ }^2, \sigma\right)$.
AnswerCorrect option: B. $N\left(\mu, \sigma^2\right)$
View full question & answer→MCQ 91 Mark
The area of the region covered between normal curve and $X-$axis is$…….$
View full question & answer→MCQ 101 Mark
How is the measurement of central tendency in normal distribution?
AnswerCorrect option: A. $\bar{x}=M=z$
View full question & answer→MCQ 111 Mark
In normal distribution, state the relation between quartiles.
- A
$\left(M-Q_3\right)= \left(M-Q_1\right)$
- B
$\left(Q_3-M\right)> \left(M-Q_1\right)$
- ✓
$\left(Q_3-M\right)= \left(M-Q_1\right)$
- D
$\left(M-Q_3\right)< \left(M-Q_1\right) .$
AnswerCorrect option: C. $\left(Q_3-M\right)= \left(M-Q_1\right)$
View full question & answer→MCQ 121 Mark
What is the value of skewness in normal distribution?`
MCQ 131 Mark
State the parameters of normal distribution.
- A
$\pi$ and $e$
- B
$x$ and $\mu$
- ✓
$\mu$ and $\sigma$
- D
$x$ and $\sigma$.
AnswerCorrect option: C. $\mu$ and $\sigma$
View full question & answer→MCQ 141 Mark
How is the normal curve about mean $\mu$ on both sides?
View full question & answer→MCQ 151 Mark
Which of the following is not correct in reference to normal variable?
- A
$\mu=Q_2$
- B
$\mu=Q_2$
- ✓
$\sigma<0$
- D
Mode $=\mu$.
AnswerCorrect option: C. $\sigma<0$
View full question & answer→MCQ 161 Mark
In a normal distribution which is the formula showing the relation between the quartiles $Q_1, Q_2$ and $Q_3?$
AnswerCorrect option: A. $Q _3+ Q _1= Q _2$
View full question & answer→MCQ 171 Mark
In normal distribution, what the estimated value of third quartile $\left(Q_3\right)$ ?
AnswerCorrect option: D. $\mu+0.675 \sigma^{\text {. }}$
View full question & answer→MCQ 181 Mark
In normal distribution, usually what percentage of the observations are included in limits $+ 2 \sigma$ ?
- A
$68.26 \%$
- B
$95 \%$
- ✓
$95.45 \%$
- D
$99.73 \%$
AnswerCorrect option: C. $95.45 \%$
View full question & answer→MCQ 191 Mark
In normal distribution, usually what percentage of the observations are included in limits $\mu + 1 . 9 6$ ?
- A
$95.45 \%$
- B
$68.26 \%$
- C
$99.73 \% q$
- ✓
$95 \%$
AnswerCorrect option: D. $95 \%$
View full question & answer→MCQ 201 Mark
In a standard normal curve, what is the total area of the curve to the left of perpendicular at $Z=0?$
View full question & answer→MCQ 211 Mark
What are the values of $Z$ to the right of the perpendicular at $Z=0?$
View full question & answer→MCQ 221 Mark
For a normal variable $X$ with $\mu$ and $\sigma$ which of the following variable is independent of unit of measurement?
View full question & answer→MCQ 231 Mark
What is the value of coefficient of skewness in normal distribution?
MCQ 241 Mark
What is called a value of standard normal variate?
MCQ 251 Mark
In a standard normal variable what is the estimated value of third quartile $(Q_3)?$
- A
$-0.675$
- B
$0.657$
- ✓
$0.675$
- D
$0.576$
AnswerCorrect option: C. $0.675$
View full question & answer→MCQ 261 Mark
What is the value of probability of continuous random variable $X$ in probability density function?
View full question & answer→MCQ 271 Mark
In standard normal curve what is the total area to perpendicular line at $Z= \pm 1.96\ ?$
- A
$0.5$
- B
$0.6828$
- C
$0.99$
- ✓
$0.95$
AnswerCorrect option: D. $0.95$
View full question & answer→MCQ 281 Mark
For a standard normal variate $Z$ if $P \left({ }_{\infty}< Z < t \right)=0.6$ than which of the following statement is correct regarding $t$ ?
- ✓
$t>0$
- B
$t =-1$
- C
$t =0$
- D
$t =-2$
View full question & answer→MCQ 291 Mark
For a normal variable, the Mean and first quartile is $26$ and $6$ respectively than find the value of third quartile?
View full question & answer→MCQ 301 Mark
For a normal distribution, estimated value of fourth quartile is $30,$ than what is the value of an average variance?
View full question & answer→MCQ 311 Mark
For a normal distribution, value of variance is $81,$ than what is the value of fourth variance from the following?
View full question & answer→MCQ 321 Mark
In normal distribution $x=45, \mu=30$ and $\sigma=15$, than what is value of standard normal score from the tollowing?
View full question & answer→MCQ 331 Mark
In a normal distribution $X =35, \sigma = 2 0$ and $Z$-score $=-1.25$, than what is the value of mean from the following?
View full question & answer→MCQ 341 Mark
In a normal distribution $Q_3=48$ and $Q_1=12$, what is the value of Mode?
View full question & answer→MCQ 351 Mark
For a normal distribution Mean is $73$ and standard deviation is $40 ,$ than what is the value of third quartile?
View full question & answer→MCQ 361 Mark
For a normal distribution value of first quartile is $50$ and variance is $400 ,$ than what is the value of Median?
- A
$30$
- B
$70$
- C
$73 / 2$
- ✓
$17 / 2$
AnswerCorrect option: D. $17 / 2$
View full question & answer→MCQ 371 Mark
Normal variable distribution is denoted by $N (25,9), 95.47 \%$ of observation lies in which interval?
- A
$(22,28)$
- B
$(16,19)$
- C
$(16,34)$
- ✓
$(19,31)$
AnswerCorrect option: D. $(19,31)$
View full question & answer→MCQ 381 Mark
For a standard normal variate $Z$, what is the value of $P \left(-_{\infty}< Z \leq 0\right) ?$
- ✓
$0.5000.$
- B
$0.3413$
- C
$0.1915$
- D
$0.4987$
AnswerCorrect option: A. $0.5000.$
View full question & answer→MCQ 391 Mark
What is the value of variance and standard distribution in a standard normal probability distribution?
MCQ 401 Mark
In standard normal curve what is the total area to perpendicular line at $Z= \pm 3$ ?
- A
$0.6828$
- B
$0.9545$
- C
$0.5$
- ✓
$0.9973$
AnswerCorrect option: D. $0.9973$
View full question & answer→MCQ 411 Mark
Which of the following is probability density function for normal variable $X$ with $n$ standard deviation $\sigma$ ?
- A
$f ( x )=\frac{1}{\sigma \sqrt{2 \pi}} e ^{-\frac{1}{2}\left(\frac{ x -\mu}{\sigma}\right)} ;-\infty< x <\infty$
- B
$f ( x )=\frac{1}{\sigma \sqrt{2 \pi}} e ^{-\left(\frac{ x -\mu}{\sigma}\right)^2} ;-\infty< x <\infty$
- ✓
$f(x)=\frac{1}{\sigma \sqrt{2 \pi}} e^{-\frac{1}{2}\left(\frac{x-\mu}{\sigma}\right)^2} ;-\infty$
- D
$f(x)=\frac{1}{\sigma \sqrt{2 \pi}} e^{-\frac{1}{2}\left(\frac{x-\mu}{\sigma}\right)^2} ; 0$
AnswerCorrect option: C. $f(x)=\frac{1}{\sigma \sqrt{2 \pi}} e^{-\frac{1}{2}\left(\frac{x-\mu}{\sigma}\right)^2} ;-\infty$
View full question & answer→MCQ 421 Mark
Mean and the first quartile for a normal distribution are $11$ and $3$ respectively. Which of the following is the value of the third quartile?
View full question & answer→MCQ 431 Mark
In usual notation of normal distribution, $x=25, \mu=20$ and $\sigma=5$ then which of the following is the value of standard normal variable?
- ✓
$1$
- B
$(-1)$
- C
$4$
- D
$\frac{10}{3}$
View full question & answer→MCQ 441 Mark
Mean of a normal variable $X$ is $50.$ If the value of $Z$ score is $- 2 . 5$ for $x = 2 5$ then which of the following is a variance of the distribution?
View full question & answer→MCQ 451 Mark
For a normal variable $X$ with mean $\mu$ and standard deviation $\sigma$ which is the standard normal variable $Z$ for it?
- A
$Z=\frac{x-\sigma}{\mu}$
- B
$Z=\frac{\sigma-x}{\mu}$
- C
$Z=\frac{\mu-x}{\sigma}$
- ✓
$Z=\frac{x-\mu}{\sigma}$
AnswerCorrect option: D. $Z=\frac{x-\mu}{\sigma}$
View full question & answer→MCQ 461 Mark
Which of the following is probability density function for standard normal variable?
- A
$f(z)=e^{-\frac{1}{2} z^2} ;-\infty < z < \infty$
- B
$f(z)=\frac{1}{\sqrt{2 \pi}} e^{-\frac{1}{2} z^2} ;-\infty < z < \infty$
- C
$f(z)=\frac{1}{\sqrt{2 \pi}} e^{-\frac{1}{2} z^2} ; 0 < z <\infty$
- ✓
$f(z)=\frac{1}{\sqrt{2 \pi}} e^{-\frac{1}{2} z^2} ;-\infty < z < \infty$
AnswerCorrect option: D. $f(z)=\frac{1}{\sqrt{2 \pi}} e^{-\frac{1}{2} z^2} ;-\infty < z < \infty$
View full question & answer→MCQ 471 Mark
Which of the following are mean and variance of standard normal variable?
- ✓
Mean $= 0,$ Variance $=1$
- B
Mean $=1,$ Variance $=0$
- C
Mean $= 0,$ Variance $=0$
- D
Mean $=1,$ Variance $=1.$
AnswerCorrect option: A. Mean $= 0,$ Variance $=1$
View full question & answer→MCQ 481 Mark
What is the total area under normal curve among the following?
MCQ 491 Mark
What is the area under normal curve to the right hand side of perpendicular line at $X=\mu ?$
View full question & answer→MCQ 501 Mark
In normal distribution, usually which limit included $99 \%$ of the observations?
- A
$\mu \pm 1.96 \sigma$
- B
$\mu \pm 2 \sigma$
- C
$\mu \pm 3 \sigma$
- ✓
$\mu \pm 2.575 \sigma$.
AnswerCorrect option: D. $\mu \pm 2.575 \sigma$.
View full question & answer→