This Test 60 pts Time Remaining 015602 The table below shows

This Test: 60 pts Time Remaining: 01:56:02 The table below shows the results of a survey that asked 2867 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). Frequently Occasionally Not at all Male 226 Female 207 Total 433 456 440 896 Total P 1478 1389 2867 742 1538 P(being frequently involved or beg occasionally involved) (Round to the nearest thousandth as needed.) (b) Find the probability that the person is female or not involved in charity work at all. P(being female or not being involved) = (Round to the nearest thousandth as needed.) (e) Find the probability that the person is male or frequently involved in charity work. P(being male or being frequently involved)- (Round to the nearest thousandth as needed.) (d) Find the probability that the person is female or not frequently involved in charity work.

Solution

Let

M = male
F = female
Fr = frequent
O = occasionally
N = not at all

a)

P(Fr or O) = (433+896)/2867 = 0.464 [ANSWER]

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b)

P(F or N) = (1389+796)/2867 = 0.762 [ANSWER]

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c)

P(M or Fr) = (1478 + 207)/2867 = 0.588 [ANSWER]

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d)

P(F or not Fr) = (1389 +456 + 796)/2867 = 0.921 [ANSWER]

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e)

OPTION B: No, because 207 females are frequently involved in charity work.