Question

The table below represents the number of hospitalizations for heart attack for men and women in various age groups.

Age	Male	Female
18-44	268	93
45-64	1663	686
65-84	1557	1242
85 and up	355	578

Let A be the event that a patient is female, B be the event that a patient is male, C be the event that a patient is in the age group 45-64, and D be the event that a patient is in the age group 65-84. Answer the following questions:

a.) What is the total sample size? Answer

b.) What is the probability that event B will occur? (round to four decimal places)

P(B) = Answer

c.) What is the probability that event D will occur? (round to four decimal places)

P(D) = Answer

d.) What is the probability that events B and D will occur? (round to four decimal places)

P(B and D) = Answer

e.) Are events B and D mutually exclusive?

no

yes

f.) What is the probability of either B or D occurring?  (round to two decimal places)

P(B or D) = Answer

Answer 1

Age	Male(B)	Female(A)	Total
18-44	268	93	361
45-64(C)	1663	686	2349
65-84(D)	1557	1242	2799
85 and up	355	578	933
Total	3843	2599	6442

a) Total sample size, n = 6442

b) P(B) = 3843/6442 = 0.5966

c) P(D) = 2799/6442 = 0.4345

d) P(B and D) = 1557/6442 = 0.2417

e) No, the events B and D are not mutually exclusive as the value of P(B and D) is not equal to 0.

f) P(B or D) = P(D) + P(B) - P(B and D)

= 2799/6442 + 3843/6442 - 1557/6442

= 0.7894 = 0.79