The table below shows the results of a survey that asked 2853 people whether the
ID: 3294427 • Letter: T
Question
The table below shows the results of a survey that asked 2853 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. 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) = (Round to the nearest thousandth as needed.) (c) Find the probability that the person is male or frequency 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.Explanation / Answer
a) Total people = 2853
Now probability that the person is frequently or occasionally involved in a charity work
= Total number of people frequently or occasionally involved in a charity work / Total number of people
= (424 + 886 ) / 2853
= 0.459
Therefore 0.459 is the required probability here.
b) Probability that the person is female or no involved in charity work at all
= Number of females + number of males not involved in charity at all / Total number of people
= (1381 + 795 ) / 2853
= 0.763
Therefore 0.763 is the required probability here.
c) Probability that the person is male or frequently involved in charity work
= number of males + number of females frequently incolved in charity / Total number of people
= ( 1472 + 203 ) / 2853
= 0.587
Therefore 0.587 is the required probability here.
d) Probability that the person is female or not frequently involved in charity work
= 1- Probability that the person is male and frequently involved in charity work.
= 1 - 221/2853
= 0.923
Therefore 0.923 is the required probability here.
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