The table bellow shows the results of a survey that asked 2861 peep e whether th

Question

The table bellow shows the results of a survey that asked 2861 peep e whether they are involved in any type of charity work. A person is sheeted a: random from the sample. Compete pans (a) through (e). (a) Find the probability that the person is frequency or occasionally involved in charity work. (b) Find the probability that the person is female or not Involved in charily work. (c) Find the probability that the person is male or frequently involved in charity work. (d) Find the probability that the person is female or not frequently involved in charity work. (e) Are the events "being female" and "being frequently involved in charity work" mutually exclusive? Explain. A. No, because no females are frequently, involved in charity work B. Yes, because no females are frequently involved in charity work. C. No because 203 females are frequently involved in charity work. D. Yes, because 203 females are frequently involved in charity work.

Explanation / Answer

a)

P(Being Frequently involved or being occasionally involved) =

Frequently Involved = 424
Occasionally Involved = 902
Frequently or Occasionally Involved = 424 + 902 = 1326
Probability = Frequently or Occasionally / Total
Probability = 1326 / 2861
Probability = 0.463

b)

P(Being Female or not being involved) =

Female total = 1396
Males not involved = 792
Female or not involved = 1396 + 792 = 2188
Probability = 2188/2861
Probability = 0.765

c)

P(being male or being frequently involved) =

Male = 1465
Frequently involved females = 203
Total males or frequently involved = 1465 + 203 = 1668
Probability = 1668 / 2861
Probability =0.583

d)

P(being female or not being frequently involved) =

Female = 1396
Not frequently involved men = 452 + 792 = 1244
Female or not frequently involved = 1396 + 1244 = 2640
Probability = 2640 / 2861
Probability = 0.923

e)

C. No, beacuse 203 females are frequently involved in charity work.

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