MCQ 11 MarkIf $P(-\infty)$A$z_1=0$✓$z_1<0$C$z_1>0$D$z_1=1$AnswerCorrect option: B. $z_1<0$View full question & answer→
MCQ 21 MarkThe mean and standard deviation of a normal variable $X$ are $20.5$ and $5$ respectively. Find $P(0 \leq x \leq 26.5)$.A$0.1151$B$0.8849$✓$0.3849$D$0.7698$AnswerCorrect option: C. $0.3849$View full question & answer→
MCQ 31 MarkIf $P\left(0 \leq z \leq z_1\right)=0.377$ for the standard normal variable $Z$, state the value of $P (-\infty)$✓$0.123$B$0.877$C$0.754$D$0.377$AnswerCorrect option: A. $0.123$View full question & answer→
MCQ 41 MarkWhat will be the value of $P(-\infty)$A$0.3413$B$0.1915$C$0.4772$✓$0.5$AnswerCorrect option: D. $0.5$View full question & answer→
MCQ 51 MarkWhat will be the value of $P(z=1.5)$ for the standard normal variable $Z$ ?A$0.4332$B$0.9332$✓$0$D$0.0668$AnswerCorrect option: C. $0$View full question & answer→
MCQ 61 MarkThe mean of a normal variable $X$ is $18 .$ If the $z-\operatorname{score}$ for $x=21$ has value $2 ,$ what will be the standard deviation of the distribution ?✓$1.5$B$2.25$C$3$D$9$AnswerCorrect option: A. $1.5$View full question & answer→
MCQ 71 MarkThe variance of a normal variable $X$ is $9 .$ If the $z$ - score for $x=15.5$ has value $-1.5$, what will be the mean of the distribution ?A$2$✓$20$C$29$D$11$AnswerCorrect option: B. $20$View full question & answer→
MCQ 81 MarkThe mean and variance of a nomal variable $X$ are $30$ and $16$ respectively. What will be the $z$ - score for $x=26\ ?$✓$-1$B$1$C$2$D$-0.25$AnswerCorrect option: A. $-1$View full question & answer→
MCQ 91 MarkIf the distribution of a normal variable is $N(15,9)$, which of the following interval will include its central $95.45 \%$ observations ?A$(12,18)$B$(6,24)$C$(10.5,19.5)$✓$(9,21)$AnswerCorrect option: D. $(9,21)$View full question & answer→
MCQ 101 MarkWhat is the percentage of observations of normal distribution to the right of the perpendicular drawn at $x=\mu+\sigma$ ?A$84.13$B$68.26$✓$15.87$D$34.13$AnswerCorrect option: C. $15.87$View full question & answer→
MCQ 111 MarkGenerally, what are limits that include the central $95.45 \%$ observations of a normal distribution ?A$\mu \pm \sigma$✓$\mu \pm 2 \sigma$C$\mu \pm 1.96^ \circ$D$\mu \pm 3 \sigma$AnswerCorrect option: B. $\mu \pm 2 \sigma$View full question & answer→
MCQ 121 MarkWhich of the following is the interval for the central $68.26 \%$ observations of standard nomal variable ?✓$(-1,1)$B$(0,1)$C$(-1,0)$D$(1, \infty)$AnswerCorrect option: A. $(-1,1)$View full question & answer→
MCQ 131 MarkWhat will be the approximate value of mean deviation of standard normal variable ?A$-0.8$✓$0.8$C$1$D$0.67$AnswerCorrect option: B. $0.8$View full question & answer→
MCQ 141 MarkWhat is the standard deviation of a standard normal variable ?A$-1$B$0$✓$1$D$2$AnswerCorrect option: C. $1$View full question & answer→
MCQ 151 MarkThe variance of a normal variable is $81 .$ What will be the approximate value of its quartile deviation?✓$6$B$7.2$C$54$D$13.5$AnswerCorrect option: A. $6$View full question & answer→
MCQ 161 MarkWhat will be the approximate value of mean deviation for a normal distribution $N(20,225)$ ?A$10$✓$12$C$16$D$18.75$AnswerCorrect option: B. $12$View full question & answer→
MCQ 171 MarkWhat is the approximate value of $Q_3$ for the normal distribution $N\left(\mu, \sigma^2\right)$ ?A$\mu+0.657 \sigma$B$\mu-0,657 \sigma$✓$\mu+0.675 \sigma$D$\mu-0.675 \sigma$AnswerCorrect option: C. $\mu+0.675 \sigma$View full question & answer→
MCQ 181 MarkIf the two extreme quartiles of a normal variable are $10$ and $40.$ What will be its mean?A$30$B$15$C$50$✓$25$AnswerCorrect option: D. $25$View full question & answer→
MCQ 191 MarkWhich of the following can be the probability density function for a normal variable $X$ ?✓$f(x)=\frac{1}{\sqrt{32 \pi}} e^{\frac{1}{2}\left(\frac{1-10}{4}\right)^2}$B$f(x)=\frac{1}{\sqrt{16 \pi}} e^{\frac{1}{2}\left(\frac{x-10}{4}\right)^2}$C$f(x)=\frac{1}{\sqrt{4 \pi}} e^{\frac{1}{2}\left(\frac{x-10}{4}\right)^2}$D$f(x)=\frac{1}{4 \sqrt{\pi}} e^{\frac{-1}{2}\left(\frac{x-10}{4}\right)^2}$AnswerCorrect option: A. $f(x)=\frac{1}{\sqrt{32 \pi}} e^{\frac{1}{2}\left(\frac{1-10}{4}\right)^2}$View full question & answer→
MCQ 201 MarkWhich of the following is true for a normal variable?A$Q_3+Q_1=\mu$✓$Q_3+Q_1=2 \mu$C$Q_3-Q_1=\mu$D$Q_3-Q_1=2 \mu$AnswerCorrect option: B. $Q_3+Q_1=2 \mu$View full question & answer→
MCQ 211 MarkWhat will be the median of a normal variable following normal distribution $N(30,100)$ ?A$10$✓$30$C$\sqrt{30}$D$\sqrt{10}$AnswerCorrect option: B. $30$View full question & answer→
MCQ 221 MarkThe probability curve of a normal variable $X$ is symmetric around $x=34$. What would be its mode ?A$0$B$43$✓$34$D$-34$AnswerCorrect option: C. $34$View full question & answer→
MCQ 231 MarkWhich value of normal variable $X$ divides the area under the normal curve in two equal parts?A$x=\sigma$✓$x=\mu$C$x=\sigma^2$D$x=0$AnswerCorrect option: B. $x=\mu$View full question & answer→
MCQ 241 MarkWhat is the type of curve for normal distribution ?APositively skewedBNegatively skewed✓SymmetricDNothing can be saidAnswerCorrect option: C. SymmetricView full question & answer→
MCQ 251 MarkWhich of the following is true for the standard normal variable $Z$ ?A$0 \leq z<\infty$B$-3.5 \leq z \leq 3.5$C$0>\infty$✓$-\infty$AnswerCorrect option: D. $-\infty$View full question & answer→