Please answer for a,b

3. A survev of Air Miles members showed that 46% booked a hotel room in the past year for business reasons, 58% for personal reasons and 39% for both business and personal reasons. An individual Air Miles member is chosen at random. a] Find the probability that the member booked a hotel room in the past year for business or personal reasons. [2 marks] b) Consider the events, A: booking for business reasons and B: booking for personal reasons. Are A and B i] independent or dependent events? Explain. [1 point] ii] [1] mutually exclusive events? Explain. [1 point]