Questions

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10 questions · timed · auto-graded

Question 11 Mark
What is marginal revenue?
Answer
The change in revenue due to small change in demand is called marginal revenue.
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Question 21 Mark
Express $0.001$ neighbourhood of $3$ in interval form.
Answer
Comparing $0.001$ neighbourhood of $3$ with $\delta$ neighbourhood of $a,$
we get a $=3$ and $\delta=0.001$.
Interval Form : $(a-\delta, a+\delta)$,Putting $a =3$ and $\delta=0.001$
$0.001$ neighbourhood of $3=(3-0.001,3+0.001)=(2.999,3.001)$
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Question 31 Mark
Give the values of the constants used in probability density function of normal variable.
Answer
The values of the constants used in probability density function of normal variable are$\pi=3.1416 / \frac{22}{7} \text { and } e=2.7183$
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Question 51 Mark
State the type of skewness for binomial distribution if the value of $p=\frac{1}{4}$ ?
Answer
Since the value of $p$ is smaller than $\frac{1}{2}$, the skewness of binomial distribution will be positive.
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Question 61 Mark
Write the sample space of a random experiment of throwing one balanced die and a balanced coin simultaneously.
Answer
$\begin{aligned}U=\{ & (1, H),(2, H),(3, H),(4, H), \\& (5, H),(6, H),(1, T),(2, T), \\& (3, T),(4, T),(5, T),(6, H)\}\end{aligned}$
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Question 71 Mark
Which method of finding trend is best to eliminate the effect of repetitive short term variations?
Answer
Method of moving average of finding trend is best to eliminate the effect of repetitive short-term variations.
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Question 81 Mark
Which statistician used the term regression for the first time ?
Answer
The term regression was first used by a statistician Sir Francis Galton.
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Question 91 Mark
On what does the sign $(r)$ of correlation coefficient depends ?
Answer
The sign $(r)$ of correlation coefficient depends on the sign of covariance of $X$ and $Y$.
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Question 101 Mark
Define Index Number.
Answer
The percentage change in the value of a variable associates with any item four the given $($current$)$ period compared to its value in a fixed $($base$)$ period is called an Index Number.
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1 Marks Each - Statistics STD 12 Commerce Questions - Vidyadip