Step 5 (c) Calculate P ( x 5 3 ) . We are asked to calculate P(x

step 5 (c) Calculate P(x S 3). We are asked to calculate P(x 3) for the binomial random variable x with n = 4 and p = 0.70. Since the binomial distribution is a discrete probability distribution, we can calculate P(x 3) by adding p(O), p(l), p(2), and p(3). In part (a) we found 4-1 4-3 p(2) = 0.2646. To find the other three needed probabilities, we can use the probability formula for the binomial distribution. p(3) = p(x) = P(x successes among the n trials) = n! pX(1 x!(n x)! 4! 4! (1 - 0.70)4 0 - 0.70) 4! (0.70)3 1-