## Exam Information

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,/ STAT 100, Spring 1996 Alternate Final Exatn
Ma.y 16, 1996
Directions: Work each problem, showine all steps in your solution. You may
use (;alculators. Do not spend too much time on anyone problem.
1.) Suppose A and B are independent and A and C are mutually exclusive with P[A]=O.5,
P[AB] = 0.3 and P[A uC] = 0.7. Find the following probabilities (4 pts each):
P[B] , P[C] , P[A uB] , P[A I B] , P[AC] .
2.) Decide which of the following are probability distributions? {There may be more than one!)
In each case, give reason for your decision (5 pts each).
a)
x f(x)
b)
*
c)
x f(x)
d)
x f(x)
1 0.2 o 1.0 22 0.2 -2 0.2
2 0.3 33 -0,,3 -1 0.2
3 0.2 34 0.3 0 0.2
5 0.3 45 0.8 1 0.2
2 0.2
3.) About 10% of African Americans carry the sickle cell gene. For a random sample of persons
from the African American population, fmd the probabilities of the following events.
(a) (4 pts) Six out of a sample of 9 are free of the sickle cell gene.
(b) (8 pts) At most 3 in a sample of ...

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