estion. pts 3 of 16 (0 complete) The table below shows the results of a survey t

Question

estion. pts 3 of 16 (0 complete) The table below shows the results of a survey that asked 2870 people whether they are involved in any type of charity work. A person is selected at randorn fre Frequently Occasionally Not at all Total 1474 1396 2870 Male Female 224 202 Total426 455 450 905 795 744 1539 (a) Find the probability that the person is frequently or occasionally involved P(being frequently involved or being 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)-E] (Round to the nearest thousandth as needed.) (c) 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. Click to select your answer(s).

Explanation / Answer

Ans:

Joint probability distribution:

Divide the each entry of above table by 2870,we get joint distribution:

a)

P(frequently or occasionally involved)=(426+905)/2870=1331/2870=0.464

or

0.1484+0.3153=0.464

b)

P(female or not being involved)=P(female)+P(not being invloved)-P(female and not being invloved)

=(1396/2870)+(1539/2870)-(744/2870)

=2191/2870=0.763

c)

P(male or being frequently involved)=P(male)+P(frequently invloved)-P(male and frequently involved)

=(1474/2870)+(426/2870)-(224/2870)

=1676/2870=0.584

d)

P(female or not frequently involved)=P(female)+P(not frequently invloved)-P(female and not frequently involved)

=(1396/2870)+((905+1539)/2870)-((450+744)/2870)

=0.4864+0.8516-0.4160

=0.922

Frequently Occasionally Not at all Total Male 0.0780 0.1585 0.2770 0.5136 Female 0.0704 0.1568 0.2592 0.4864 Total 0.1484 0.3153 0.5362 1

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