Suppose that X is a Poisson random variable with . Round your answers to 3 decimal places (e. g. 98.765). (a) Compute the exact probability that X is less than 30. Enter your answer in accordance to the item a) of the question statementEntry field with incorrect answer 0.004 (b) Use normal approximation to approximate the probability that X is less than 30. Without continuity correction: Enter your answer in accordance to the item b) of the question statement; Without continuity correctionEntry field with incorrect answer 0.011 With continuity correction: Enter your answer in accordance to the item b) of the question statement; With continuity correctionEntry field with incorrect answer 0.5046 (c) Use normal approximation to approximate the probability that . Without continuity correction: Enter your answer in accordance to the item c) of the question statement; Without continuity correctionEntry field with incorrect answer With continuity correction: Enter your answer in accordance to the item c) of the question statement; With continuity correctionEntry field with incorrect answer