Suppose the cumulative distribution function of the random variable X is 0, x - 1.5) = i c) P(X 49.9)? (Round your answer to 3 decimal places.) iCorrect. Suppose the counts recorded by a Geiger counter follow a Poisson process with an average of two counts per minute. Round the answers to 3 decimal places. (a) What is the probability that there are no counts in a 30-second interval? 0.368 (b) What is the probability that the first count occurs in less than 8 seconds? 0.234 (c) What is the probability that the first count occurs between 1 and 2 minutes after start-up? 0.117