Find the expected value of the random variable. Round to the nearest cent unless stated otherwise. Suppose you buy 1 ticket for $1 out of a lottery of 1,000 tickets where the prize for the one winning ticket is to be $500. What is your expected value

Expected Value = - 0.5

Step-by-step explanation:

Expected Value [ E(X) ]  = Σ  {X. Probability (X)} = Σ [ (X).P(X) ]

Probability = 1 / 1000

X Value = 500 - 1 = 499

Probability =  1 - Probability Winning = 999 / 1000

X Value = -1

(1 / 1000) (499) + (999 / 1000) (-1)

0.499 - 0.999

= - 0.5

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq