Question

In a college, 4% of the men and 1% of the women are taller than 6 feet. Further more,
60% of the students are women. Now if a student is selected at random and is taller than
6 feet, what is the probability that the student is a women.

Answer 1

Compute )
3
2
y
2
1
/
4
3
x
4
1
(P

from the following joint pdf

.otherwise,0
1y0;1x0for,xy3yx3)y,x(f22



Answer 2

Find the probability that in a sample of 12 voters exactly 7 will prefer A if 60% of the
voters in a large district prefer candidate A.

Answer 3

Determine the probability that the income tax authorities will catch 3 income tax
returns with illegitimate deductions, if it randomly selects 6 returns from among 20
income tax returns of which 8 contains illegitimate deductions?