MCQ 11 MarkWhat is $\frac{d y}{d x}$, if $y=a x^n, a$ is a constant ?A$n x^{n-1}$✓$an x^{ n -1}$C$0$Dan $x^{n+1}$AnswerCorrect option: B. $an x^{ n -1}$View full question & answer→
MCQ 21 MarkWhat is the interval form of $|x-5|<0.25$ ?✓$(4.75,5.25)$B$(-4.75,5.25)$C$(-5.25,-4.75)$D$(-5.25,4.75)$AnswerCorrect option: A. $(4.75,5.25)$$(4.75,5.25)$ $\text { Modulus form } $ $=|x-a|<8 $ $=|x-5|<0.25 $ $a =5, \delta=0.25$ $\text { Interval form }$ $=(a-\delta, a+\delta)$ $ =(5-0.25,5+0.25)$ $ =(4.75,5.25)$View full question & answer→
MCQ 31 MarkIf the distribution of normal variable is shown as $N(20,4)$, then which of the following intervals incluces $99.73 \%$ of observations ?A$(18,22)$B$(16,24)$✓$(14,26)$D$(12,28)$AnswerCorrect option: C. $(14,26)$$(14,26)$Here, $N(20,4)=N\left(\mu, S^2\right)$ $\mu=20, \sigma=4 ;$ $\therefore=2$ For, $99.73 \%$ of observations $\therefore(20-3(2),20+3(2))$View full question & answer→
MCQ 41 MarkIn normal distribution, usually what percentage of the observations are included in the limits $\mu \pm \sigma$ ?A $34.13 \%$B $95.45 \%$✓ $68.26 \%$D $50 \%$AnswerCorrect option: C. $68.26 \%$ $68.26 \%$View full question & answer→
MCQ 51 MarkFor a positively skewed binomial distribution with $n=10$, which of the following values might be the value of mean?A$5$✓$3$C$9$D$7$AnswerCorrect option: B. $3$$33$ for positively skewed distribution $p<0.5$ Mean $=n p, n=10, p<0.5$ $\therefore n p \leq 0.5 \quad n p=3$View full question & answer→
MCQ 61 MarkWhich of the following options is true for any event of the sample space ?A$P ( A )<0$B$0 \leq P ( A ) \geq 1$✓$0 \leq P ( A ) \leq 1$D$P ( A )>1$AnswerCorrect option: C. $0 \leq P ( A ) \leq 1$View full question & answer→
MCQ 71 MarkWhich method of finding trend is best to eliminate the effect of repetitive short term variations?AGraphical methodBMethod of least squaresCKarl Pearson's method✓Method of moving averageAnswerCorrect option: D. Method of moving averageView full question & answer→
MCQ 81 MarkThe regression line always passes through which point ?✓$(\bar{x}, \bar{y})$B$(0, \bar{y})$C$(\bar{x}, 0)$D$(0,0)$AnswerCorrect option: A. $(\bar{x}, \bar{y})$View full question & answer→
MCQ 91 MarkIf $r(-x, y)=-0.5$, then what is the value of $r(x,-y)$ ?A$0.5$✓$-0.5$C$1$D$0$AnswerCorrect option: B. $-0.5$View full question & answer→
MCQ 101 MarkIf $I _{ P }= I _{ F }$, which of the following statements is true ?A$I _{ P }=2 L _{ L }$B$I_F=\frac{I_L}{2}$✓$I _{ F }= I _{ P }= I _{ L }$D$4 I _{ F }= I _{ L }$AnswerCorrect option: C. $I _{ F }= I _{ P }= I _{ L }$View full question & answer→