Let X be the lower number when two dice are rolled. Calculate the expected value of the given random variable X. Please, round your answer to the nearest thousandth.
A) $E ( X ) = 1$
B) $E ( X ) = 0.028$
C) $E ( X ) = 0.306$
D) $E ( X ) = 2.528$
E) $E ( X ) = 4.5$

Question

Let X be the lower number when two dice are rolled. Calculate the expected value of the given random variable X. Please, round your answer to the nearest thousandth.  
A) $E ( X ) = 1$
B) $E ( X ) = 0.028$
C) $E ( X ) = 0.306$
D) $E ( X ) = 2.528$
E) $E ( X ) = 4.5$

Quizplus · Accepted Answer

The expected value of the lower number (X) when two dice are rolled can be calculated by considering all the possible outcomes and their probabilities. For each possible lower number (1 through 6), we calculate its probability by counting how many outcomes result in that number being the lower of the two and then multiply each by the value of the lower number, summing these products to get the expected value. The correct calculation leads to an expected value of approximately 2.528.

Let X Be the Lower Number When Two Dice Are E(X)=1E ( X ) = 1E(X)=1

Let X Be the Lower Number When Two Dice Are $E ( X ) = 1$