The following table shows the results of a survey of authors by a (fictitious) publishing company. HINT [See Example 5.]   New Authors Established Authors Total Successful 5 23 28 Unsuccessful 18 54 72 Total 23 77 100 Consider the following events: S: an author is successful; U: an author is unsuccessful; N: an author is new; and E: an author is established. Describe the event U ∪ E ' in words. This is the event that an author is either successful or established.This is the event that an author is unsuccessful and not established.     This is the event that an author is unsuccessful and established.This is the event that an author is either successful or not established. This is the event that an author is either unsuccessful or not established. Find the number of elements it contains. authors

d. Are events A and C mutually exclusive? - Select your answer - e. What is Bº? (i) {E1, E3, E5, E6} (ii) {E2, E4, E5, E7} (iii) {E3, E4, E5, Es} (iv) {E₁, E4, E6} (v) {E2, E4, E7} (vi) {0} - Select your answer - What is P(B)? If necessary round your answer to two deicmal places.

Determine whether the following events are mutually exclusive. Explain your reasoning. Event A: Randomly select a female physics major. Event B Randomly select a physics major who is 19 years old. These events: choose one: (are, are not) mutually exclusive since: choose one: (all physics majors are female, not all physics majors are female, not every female physics major is 19years old, every female physics major is 19, it is possible to select a female physics major who is 19 years old, it is not possible to select a female physics major who is 19 years old, no physics majors are female)