Four 6-sided dice are rolled. The dice are fair, so each one has equal prob- ability of producing a value in {1, 2, 3, 4, 5, 6}. Let X =the minimum of the four values rolled. (It is fine if more than one of the dice has the minimal value.) (a) What is P(X ≥ 1) ? (b) What is P(X ≥ 2) ? (b) What is the CDF of X i. e. P(X ≤ k) for all values of k ?

When x = 3 and y = 5, by how much does the value of 3x2 – 2y exceed the value of 2x2 – 3y ?

Suppose you are an avid reader and are looking to save money on the cost of books instead of paying about $20 for each book, you decide to look into purchasing a kindle for $120 you can purchase e-books for about $5 each 1. find the slope-intercept equation for the cost of the hard copy of books using x to represent the number of books 2. find the slope-intercept equation for the cost of the kindle with cost of e-books using x to represent the number of books

Find the domain and range of the following function f(x) = 51x - 21+ 4