The table below shows the results of a survey that asked 2860 people whether the

Question

The table below shows the results of a survey that asked 2860 people whether they are involved in any type of charity work. A person is selected at random from the sample. Complete parts (a) through (e).

(a) Find the probability that the person is frequently or occasionally involved in charity work.

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

(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.

frequently occationally not at all total male 228 457 793 1478 female 203 430 749 1382 total 431 887 1542 260

Explanation / Answer

(a)

P(person is frequently or occasionally involved) = (431+887)/2860 = 0.461

(b)

P(peron is female or not involved in charity at all) = (1382+1542-749)/2860 = 0.76

(c)

P(person is male or frequently involved) = (1478+431-228)/2860 = 0.588

(d)

P(person is female or not frequently involved in charity) = (1382+(887+1542)-(430+749))/2860 = 0.92

Hope this helps !

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