The number of spam emails received each day follows a Poisson distribution with a mean of 50. Approximate the following probabilities. Apply the +% correction factor and round value of

standard normal random variable to 2 decimal places. Round your answer to four decimal places (e.g. 98.7654). (a) More than 40 and less than 60 spam emails in a day. (b) At least 40 spam emails in a day. (c) Less than 40 spam emails In a day. (d) Approximate the probability that the total number of spam emails exceeds 340 in a seven-day week.