IN Paragraph Styles 12. Consider the following function: P(x) =|(.55)*(.45)+* for x - 0, 1, 2, 3, 4. 25pts. a. Test to determine and explain whether or not P(x) is a binomial probability function. b. Complete the probability distribution of x table below, find P(x 2 1) and P(1 2 x > 4). Histogram of Probability Distribution 04 X 0 2 3 0.35 0.3 P(x) 0.25 0.2 0.15 0.05 c. Sketch a histogram of the probability distribution of x on the above plane, and briefly describe the distribution below (shape, spread, and center), include the mean and standard deviation