1. A life insurance company has determined that each week an average of six claims is filed in its Pomona branch. Let the variable X represent the number of claims that will be filed next week. (a)[1 pt] Is X a Discrete or Continuous random variable? (b)[4 pts] Which probability distribution does X follow? Justify your answer by checking the necessary requirements. (d)[2 pts] What is the probability that during the next week exactly four claims will be filed? Round your answer to three decimal places. (c)[3 pts] What is the probability that during the next week fewer than four claims will be filed? Round your answer to three decimal places.