Let X be a continuous random variable with the probability density function f X ( x ) = 20 x , 3 ≤ x ≤ 7, zero elsewhere. Let Y be a Uniform( 3, 7 ) random variable. Suppose that X and Y are independent. a) Find P(min( X, Y )  5 ). b) Find E(max( X, Y )).

Assume that 1400 births are randomly selected and 1378 of the births are girls. use subjective judgment to describe the number of girls as significantly high, significantly low, or neither significantly low nor significantly high. choose the correct answer below. a. the number of girls is neither significantly low nor significantly high. b. the number of girls is significantly high. c. the number of girls is significantly low. d. it is impossible to make a judgment with the given information.

Find the area of the regular hexagon if a side is 20 cm.

Evaluate the discriminant of each equation. tell how many solutions each equation has and whether the solutions are real or imaginary. 4x^2 + 20x + 25 = 0