hello, can you help me with these probability distribution questions?

To earn full credit, show all work, write legibly, and clearly label your answers. If you use a calculator for some answers, be sure to write down the function used, with all the necessary parameters. 1. A random variable, X, has the probability distribution shown in the table: a) Find FIX s: U) (Note: a numerical answer is expected, not in terms of a] [3 points] b] Determine P(X = 2) and P(X = l). [3 points] 2. According to a study, the probability that a randomly selected teanager studied at least once during the week was only [1.54. Let X be the number of teenagers who studied at least once during the week. a} What is the probability that only 4 students from your study group of ten have studied this week? Round to three decimal places. [3 points] b] What is the probability that at least six of the students in your study group of ten have studied this week? Round to four decimal places. [3 points]