The diameter of a particle of contamination (inmicrometers) is modeled with the probability density functionf (x) = 2∕x3 for x > 1. Determine the following:a. P(X < 2) b. P(X > 5)c. P(4 < X < 8) d. P(X < 4 or X > 8)e. x such that P(X < x) = 0.95

Scenario: susan wants to make 2 square flags to sell at a crafts fair. the fabric she wants to buy is 3 meters wide. she doesn't want any fabric left over. what's the least amount of fabric she should buy? question: which equation will susan solve her problem? note: let x represent the length of 1 side of the flag. options: 1) 2x^2 = 4x 2) 8 +2x = 2(4x) 3) 2 * 2 = 4 * 2 4) 4x^2 -2x = 0