You have blind date with the physics major. From the social networking experience, you know that 50% are narcissistic, 10% of physics majors are immature and 90% are boring. Suppose that immaturity, narcissism, and boringness are independent events. Calculate probabilities called for in question(s).
a) Compute probability that the date is boring narcissist.
b) Compute probability that date is immature bore.
c) Compute probability that date is immature narcissistic.