Table shows the results of a survey that asked 2881 people whether they are involved in any type of charity work.

 A person is selected from the sample.  Complete parts (a) through (e).

Frequently           Occasionally        Not at all         Total

Male      227               259                    792                 1478

Female   205              450                      748                 1403

Total        432              909                      1540               2881

Find probability that the person is frequently involoved in charity work

P (being frequently involved or occasionally involved) =

(b) find the probability that the person is female or not involved in charity work at all.

P (being female or not involved) = 

(c) find the prob. that the person is male or frequently involoved in charity work

P (being male or being frequently involoved) =

(d) find the prob. that the person is female or not frequently involved in charity work

P(being female or not being frequently involved) = 

(e) Are the events “being female” and “being frequently involved in charity work mutually exclusive?  explain

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