Cardiac rehabilitation - exercise, counselling, behaviourmodification etc. - is
ID: 2950965 • Letter: C
Question
Cardiac rehabilitation - exercise, counselling, behaviourmodification etc. - is important for cardiac patients. It has beenestimated that within 6 years, 18% of male cardiac patients willhave a second heart attack if they do not enter a program ofrehabilitation. Given a group of 50 male cardiac patients who donot enter a cardiac rehabilitation program, answer the followingquestions.
a) What is the probabilityof exactly 14 of them having another heart attack within 6
years?
b) What is the probability of more than 10 of them havinganother heart attack with 6
years?
Explanation / Answer
Let X be the number of person having anohter heart attack within 6years X~Binomial (n = 50, p = 0.18) q = 1-0.18 = 0.82 a) P(X = 14) = 50C14 (0.18)14(0.82)36 = 0.0277 b) Use normal approximation to solve binomial distribution Mean = np = 50 x 0.18 = 9 SD = (npq) = (9 x 0.82) = 2.72 z = (10 - 9)/2.72 = 0.37 P(z > 0.3676) = 0.3566 (solving using normal table) Hope this helps!