The sample space of a random experiment is {a, b, c, d, e, f}, and each outcome is equally likely. A random variable is defined as follows: Outcome a b c d e f X 0 0 1.7 1.7 2 3 Determine the probability mass function of X. Use the probability mass function to determine the following probabilities. Give exact answers in the form of fraction. (a) P(X=1.5) (b) P(.53) (d)P(0<=X<2)(c) P(X=0 or X = 2)

Write a function for a rotation 90 degrees counter clockwise about the origin, point 0

Calculate the missing value. round the answer to on decimal place. start with 70, increase it by 21%, and end up with

I've been working on this for a few days and i just don't understand, it's due in a few hours. you. the direction of a vector is defined as the angle of the vector in relation to a horizontal line. as a standard, this angle is measured counterclockwise from the positive x-axis. the direction or angle of v in the diagram is α. part a: how can you use trigonometric ratios to calculate the direction α of a general vector v = < x, y> similar to the diagram? part b suppose that vector v lies in quadrant ii, quadrant iii, or quadrant iv. how can you use trigonometric ratios to calculate the direction (i.e., angle) of the vector in each of these quadrants with respect to the positive x-axis? the angle between the vector and the positive x-axis will be greater than 90 degrees in each case. part c now try a numerical problem. what is the direction of the vector w = < -1, 6 > ?