Question

It is kn0wn that 82% of all heart failure is due to natural occurrences caused by arterial blockage, disease, or infection. Suppose that 7 unrelated patients with heart failure are examined, Let the random variable X represent the number of patients whose heart failure is due to natural causes. The following table presents the probability distribution for this binomial random variable.

X=x	0	1	2	3	4	5	6	7
P(X=x)	0.0000	0.0002	0.0027	0.0203	0.0923	0.2523	0.3830	????

1. What is the probability that all 7 patients have experienced heart failure due to natural occurrences?

a. 0.2492

b. 0.5740

c. 0.7508

d. 0.0000

2. What is the probability that no more than 3 of the patients experienced heart failure due to natural occurrences?

a. 0.9971

b. 0.0029

c. 0.9768

d. 0.0232

Answer 1