An American roulette wheel has 18 red, 18 black and 2 green slots. You bet $1 on red color. If the winning number is red, you win $1, and your original $1 is returned, if the winning number is not red, you lose your original $1. Use X to denote the NET gain you have each time you play the roulette.

Write down the distribution of X. What is the expected value of it? What is the variance of it?

Do social recommendations increase ad effectiveness? a study of online video viewers compared viewers who arrived at an advertising video for a particular brand by following a social media recommendation link to viewers who arrived at the same video by web browsing. data were collected on whether the viewer could correctly recall the brand being advertised after seeing the video. the results are given below.correctly recalled the brandarrival 409153browsing20484b. conduct the hypothesis test, using the 0.025 level of significance.what is the value of the test statistic? χ2stat=what is the p-value? p-value=is this value significant atα=0.025?

Astudent draws two parabolas on graph paper. both parabolas cross the x-axis at (-4, 0) and (6,0). the y-intercept of thefirst parabola is (0, –12). the y-intercept of the second parabola is (0-24). what is the positive difference between the avalues for the two functions that describe the parabolas? write your answer as a decimal rounded to the nearest tenth.

Find the roots of the polynomial function f(x) = x^3 + 2x^2 + x