Let X be a random variable with probability density function 2r 0S<11 0 o therwise S(x) = Compute the following probabilities: a. Prob(X < 1/4); b. Prob(X < 1/4|X < 1/2): c. Prob(X > 1/4|X < 1/2); d. Prob(X < 1/2|X > 1/4).

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A: Topic- 2D Geometry

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.