Using the following uniform density curve, answer the question. A coordinate system has a horizontal x-axis labeled from 0 to 8 in increments of 1 and a vertical P(x)-axis labeled from 0 to 0.125 in increments of 0.125. A horizontal line segment extends from (0, 0.125) to (8, 0.125). A vertical line segment extends from (8, 0.125) to (8, 0). What is the probability that the random variable has a value greater than 5?

0.375

Step-by-step explanation:

Given that a coordinate system has a horizontal x-axis labeled from 0 to 8 in increments of 1 and a vertical P(x)-axis labeled from 0 to 0.125 in increments of 0.125. A horizontal line segment extends from (0, 0.125) to (8, 0.125). A vertical line segment extends from (8, 0.125) to (8, 0).

i.e. we can say X follows a uniform distribution with

p(x) = 0.125, for

This is a continuous uniform distribution

Required probability

= the probability that the random variable has a value greater than 5

=

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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