The contingency table is set up as follows: Total 10 20 30 20 40 60 Total 30 60 90 i. Find the probabilities ii. Show that and iii. Are the events and statistically independent?

The  contingency table is set up as follows:

                                                         Total

                                           10                      20                          30

                                           20                      40                         60

            Total          30                    60                            90

 

i. Find the probabilities

ii. Show that  and

iii. Are the events  and statistically independent?