According to recent research by NASA, 28% of the world's space products are manufactured in the USA. Consider a random sample of five space products and let x represent the number in the sample that are manufactured in USA The formula below gives the probability distribution for x, where n! = (n)(n- 1)(n-2)...(2)(1). Complete parts a through d. %D (51)(0.28)*(0.72)5 -x P(x) =- (x!)(5 - x)! (Type integers or decimals rounded to three decimal places as needed.) c. Check that the properties for a discrete probability distribution are satisfied. Select all that apply. O A. The probabilities sum to 1. O B. Each probability is greater than or equal to 1. O C. The probabilities sum to 0. O D. Each probability is greater than or equal to 0. O E. The properties for a discrete probability distribution are not satisfied. d. Find the probability that at least four of the five space products in the sample are manufactured in USA. P(x2 4) = (Type an integer or a decimal rounded to three decimal places as needed.)