Find the probability that this disease would be fatal in two randomly selected patients

INSTRUCTIONS TO CANDIDATES

ANSWER ALL QUESTIONS

Introduction to Probability

Case 1:

If tuberculous meningitis had a case fatality of 20%,

(a) Find the probability that this disease would be fatal in two randomly selected patients (the two events are independent)

(b) If two patients are selected randomly what is the probability that at least one of them will die?

Case 2:

In a normally distributed population, the probability that a subject’s blood cholesterol level will be lower than 1 SD below the mean is 16% and the probability of being blood cholesterol level higher than 2 SD above the mean is 2.5%.

(a) What is the probability that a randomly selected subject will have a blood cholesterol level lower than 1 SD below the mean or higher than 2 SD above the Mean.

Case 3

Assuming these data are representative of a larger population, what is the approximate probability that someone from that population who sleeps with a nightlight in early childhood will develop some degree of myopia?

Slept with: No Myopia Myopia High Myopia Total

Darkness 155 (90%) 15 (9%) 2(1%) 172

Nightlight 153(66%) 72(31%) 7(3%) 232

Full Light 34(45%) 36 (48%) 5(7%) 75

Total 342(71%) 123 (26%) 14(3%) 479

Case 4

Person Sex Age

1 Male 31

2 Male 33

3 Female 46

4 Female 29

5 Male 41

If the members of the council decide to elect a chairperson by random draw (say, by drawing the names from a hat), what is the probability that the chairperson will be either female or over 35?

Case 5:

Years of experience Numbers Probability

0-2 5 5/50=1/10=1

3-5 10 10/50=1/5 =.2

6-8 15 15/50=3/10=.3

More than 8 20 20/50 = 2/5 = .4

Total 50

 

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