1
NDA Mathematics 21 April 2024
MCQ (Single Correct Answer)
+2.5
-0.83
From data (-4, 1), (-1, 2), (2, 7) and (3, 1), the regression line of y on x is obtained as $y = a + bx$, then what is the value of $2a + 15b$?
2
NDA Mathematics 21 April 2024
MCQ (Single Correct Answer)
+2.5
-0.83
If two random variables $X$ and $Y$ are connected by relation
$\frac{2 X-3 Y}{5 X+4 Y}=4$ and $X$ follows Binomial distribution with parameters $n=10$ and $p=\frac{1}{2}$, then what is the variance of $Y$ ?
3
NDA Mathematics 21 April 2024
MCQ (Single Correct Answer)
+2.5
-0.83
An edible oil is sold at the rates 150, 200, 250, 300 rupees per litre in four consecutive years. Assuming that an equal amount of money is spent on oil by a family in every year during these years, what is the average price of oil in rupees (approximately) per litre?
4
NDA Mathematics 21 April 2024
MCQ (Single Correct Answer)
+2.5
-0.83
Consider the following for the next two (02) items that follow:
| $x_i$ | 1 | 2 | 3 | ... | $n$ |
|---|---|---|---|---|---|
| $f_i$ | 1 | $2^{-1}$ | $2^{-2}$ | ... | $2^{-(n-1)}$ |
$$
\text { What is } \sum_i^n x_i f_i \text { equal to? }
$$
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