The questions are in the photos below: I would like them all solved correctly, and the correct answer options too.

Question 4 Not yet answered Marked out of 1400 F Flag question Classify the events as independent or not independent. Events A and B where P(A) : 0.4, P(B) : 0.9, and P(A and B) = 0.28 Select one: Q a. independent 0 b. not independent Question 7 Not yet answered Marked out of 5.00 V Flag question An email provider uses a sophisticated data-mining algorithm to categorise email as junk or not junk, ie, to distinguish between emails that appear to be spam and emails that do not appear to be spam. The events of interest are defined as: S for the event "email is spam" 5' for the event "email is not spam'I J for the event "email is categorised as junk" J' for the event "email is not categorised as junk" The company's statistician is preparing a tree diagram to explain the probabilities involved to a member of the company's management. She has the sketch shown below but she has not labelled it yet. Drag and drop the correct labels onto the branches and the tips of the branches to complete the sketch. : : J S