Exercise2

Consider the following probability density function I(x); 1 FO= 1-2-2 (a) Find the cumulative distribution function of X. In other words, what is F(x)? (b) Find the mean of X.Recent elections suggest that the political ideology of US adults is fairly evenly divided. A 2021 Gallup survey reveals that approximately 36! were Republicans, 34% were Democrats, and 30% were Independents. Additionally, suppose that 70% of Republicans, 18% of Democrats, and 32% of Independents describe their political views as conservative. Suppose a US adult is selected al random. a. What is the probability a randomly selected US adult is an Independent and not conservative? b. What is the probability that a rundemly selected US adult identifies as conservative? c. What is the probability that a randomly selected US adult is Democrat or identifies as conservative? J. Suppose a randomly selected US adult identifies us not conservative. Whit is the probability they are a Republican