Andy\'s uncle, Mr. Bob, had a health problem and the doctor had recommended him
ID: 3223293 • Letter: A
Question
Andy's uncle, Mr. Bob, had a health problem and the doctor had recommended him bed rest. Andy wanted to play with his uncle so he decided to wake him up. Andy exploded a firecracker (bomb) near his uncle as he was in his sleeping chair. Unfortunately his uncle died. A 2 times 3 way classification of a record of deaths due to a heart attack or without a heart attack, disease, shocks and other reasons in a hospital is given in the following Table. (a) What is the probability that Mr. Bob died of heart attack? (b) Assume the doctor's report shows that he died due to heart attack, what is the conditional probability that Andy's uncle died due to a shock created by Andy's bomb? (c) Are the events "Doctor's report and" Cause of death" independent? Justify your claim with an appropriate logic?Explanation / Answer
a) probability =85/141 =0.6028
b)probability =10/85 =0.1176
c)No as prbability of heart attack and disease =67/141=0.475 which is not equal to probabilty of heart attack*probabilty of disease which is equal to =(112*85)/(141*141)=0.479.
cause for independence P(A&B)=P(A)*P(B)
disease Shock Other reason Total Heart Attack 67 10 8 85 without heart attack 45 5 6 56 Total 112 15 14 141