Following Problem -

Michael is nervously awaiting an email from his boss David on whether he has been fired. He has his secretary Pam estimate the conditional probabilities of when he will receive his email. Completely making up the probabilities, she estimates the following conditional probabilities, given that Michael is fired or not fired, of receiving an email on each day of the next week: Day P(email | fired) P(email | not fired) Monday 0.15 0.05 Tuesday 0.20 0.10 Wednesday 0.25 0.10 Thursday 0.15 0.15 Friday 0.10 0.20 Pam also estimates that the probability of Michael being fired is 0.6. a.) What is the probability he will not receive the email on Tuesday? b.) What is the probability that Michael was fired given that he received the email on Friday?c.) What is the probability that Michael was not fired given that he did not receive an email on Monday, Tuesday, or Wednesday? (Hint: You will need DeMorgan's Law)