As the night Editor for Yahoo! News, you are waiting for two of your reporters—Abbott and Bocelli—to phone in breaking stories before the website’s next scheduled update. You decide that the probability of Abbott beating the deadline is .6. The probability that Bocelli will beat the deadline is .4. The probability that both will beat the deadline is .10.
a. If Abbott beats the deadline, how likely is it that Bocelli will?
b. How likely is it that at least one of the reporters beats the deadline?
c. How likely is it that neither reporter beats the deadline?
d. Are the two events statistically independent? Explain.
e. Construct a Venn diagram to represent the situation.