8) at the school carnival, mike will play a game in which he will toss a penny, a nickel, and a dime at the same time. he will be awarded 3 points for each coin that lands with heads faceup. let the random variable x represent the total number of points awarded on any toss of the coins. what is the expected value of x?

The require expected value of x is

Step-by-step explanation:

Consider the provided information.

Mike will play a game in which he will toss a penny, a nickel, and a dime at the same time.

The probability of head is

He will be awarded 3 points for each coin that lands with heads faceup.

Let the random variable x represent the total number of points awarded on any toss of the coins.

Thus the expected value is:

Hence, the require expected value of x is

they are simplified

step-by-step explanation:

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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