The Table below shows the results of a survey that asked 286

The Table below shows the results of a survey that asked 2862 people whether they are involved in any charity work. A Person is selected at random from the sample.

           Frequently Occasionally    Not at all      Total

Male     228                452            795          1475

Female   201               440            746          1387

Total      429                892            1541        2862

a) Find the probability that the person is frequently or occassionally 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.

Solution

A) OR MEANS WE HAVE TO ADD PROBABILITY OF FREQUENTLY AND OCCASSIONALLY.

FREQUENTLY = 429

PROBABILITY = 429/2862

OCCASSIONALLY = 892

PROBABILITY = 892/2862

TOTAL PROBABILITY = 0.149 + 0.311=0.460

B)FEMALE PLUS NOT CHARITY = 746

PROBABILITY = 746/2862 = 0.260

C) TOTAL FREQUENTLY = 429, TOTAL MALE = 1475-228 =1247

PROBABILITY = 1676/2862= 0.585

D)FEMALE PLUS NOT FREQUENTLY = 1387 - 201 = 1186

PROBABILITY = 1186/2862=0.414