Identify the random variable as discrete or continuous in each of the following. Identify its range if it is discrete. A highway safety group is interested in the speed (km/hrs) of a car at a checkpoint.

X : Speed of car in km/hr X takes infinite values ∴ X is a Continuous Random Variable.

Identify the random variable as discrete or continuous in each of…

Write the negations of the following:
Ramesh is intelligent and he is hard working.

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Without using truth table, show that : ~r → ~(p ∧ q) ≡ [~(q → r)] → (~p)

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Without using truth table, show that : p ∧ [~p ∨ q) ∨ (~q)] ≡ p

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The regression equation of y on $x$ is given by $3x + 2y – 26 = 0$. Find $b_{yx}.$

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Write the negations of the following:
If x ∈ A ∩ B, then x ∈ A and x ∈ B.

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Evaluate $\int \frac{3 x^3-2 \sqrt{x}}{x} d x$

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Evaluate $\int\left(3 x^2-5\right)^2 d x$

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Find $\frac{d^2 y}{d x^2}$, if $y =\log x$

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Write the negations of the following:
If ΔABC is not equilateral, then it is not equiangular.

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Evaluate $\int \frac{1}{x(x-1)} d x$

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