Questions

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10 questions · timed · auto-graded

Question 11 Mark
What are the stationary points of a function?
Answer
The point where maximum or minimum values of $f(x)$ occur are known as stationary points of a function.
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Question 21 Mark
Explain the meaning of $x \rightarrow a$.
Answer
If the value of variable $x$ is brought very close to a number ' $a$ ' by increasing or decreasing its value then it can be said that $x$ tends to $a$. It is denoted by $x \rightarrow a$.
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Question 31 Mark
Write the probability density function of standard normal variable.
Answer
Probability density function of standard normal variable.$f(z)=\frac{\perp}{\sqrt{2} \pi} e-\frac{1}{2} Z ^2 ;-\infty z<\infty$
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Question 51 Mark
State the relation between the probability of success and failure in Bernoulli trials.
Answer
Success and failure are mutually exclusive and exhaustive events in Bernoulli Trials. Therefore $q=1-P$.
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Question 61 Mark
Arrange $P ( A \cup B ), P ( A ), P ( A \cap B ), 0, P ( A )+ P ( B )$ in the descending order.
Answer
Arrangeing into descending order : $P(A)+P(B), P(A \cup B), P(A), P(A \cap B), 0$
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Question 71 Mark
Which of the components of time series produce short-term variations?
Answer
Seasonal Conponent, Cyclical component and random component of time series produce short term variations.
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Question 81 Mark
Give the name of a method to obtain the best fitted regression line.
Answer
Method of least squares Method is used to obtain the best fitted regression line.
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Question 91 Mark
State the assumptions of Karl Pearson's correlation coefficient.
Answer
Assumption of Karl Pearson's correlation Coefficient.
$(1)$ There is a linear 'relationship between two variables.
$(2)$ There is a cause and effect relationship between two variables.
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Question 101 Mark
Which index number is used by Reserve Bank of India to control inflation?
Answer
Whole-sale Price. Index Number is used by Reserve Bank of India to control inflation.
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1 Marks Each - Statistics STD 12 Commerce Questions - Vidyadip