Question 4 Ted Cruz won the Republican Iowa caucus by about 28% of the vote. It is believed that he won this caucus by a strong evangelical vote. About 15% of the Republican voters self- identied with being evangelical. The probability that a delegate supported Ted Cruz given that they are evangelical is 80%. Let C be the event that a delegate supports Ted Cruz. Let E be the event that a delegate is evangelical Let E\" be the event that a delegate is not evangelical. a) Find P(C' Fl E). b) Statistically show using a formula whether events C and E are independent or not. c) Find P(C H E\"). d) Find the probability that a delegate does not self-identify with being evangelical given that they support Ted Cruz