Let X represent a binomial random variable with n-115 and p=0.39 Find the following probabilities (Do not round intermediate calculations. Round your final answers to 4 decimal places.) a PX S40) b. PLX-30) CPX 50) d PX245) Assume that X is a Poisson random variable with -5. Calculate the following probabilities. (Do not round intermediate calculations. Round your final answers to 4 decimal places.) a PX-5) b. PIX=3) c. PIXS 1) Forty-four percent of consumers with credit cards carry balances from month to month. Four consumers with credit cards are randomly selected a. What is the probability that all four consumers carry a credit card balance? (Do not round intermediate calculations. Round your final answer to 4 decimal places.) Probability b. What is the probability that fewer than two consumers carry a credit card balance? (Do not round intermediate calculations. Round your final answer to 4 decimal places.) Probability c. Calculate the expected value, the variance, and the standard deviation for this distribution. (Round your answers to 4 decimal places.) Expected value Variance Standard deviation