SOLUTION: The values X = 0, 1, 2, 3, 4 and their respective probabilities .12, .08, ?, .34, .14 shows a distribution for the number of high school years that students at a local high school

Algebra ->  Probability-and-statistics -> SOLUTION: The values X = 0, 1, 2, 3, 4 and their respective probabilities .12, .08, ?, .34, .14 shows a distribution for the number of high school years that students at a local high school       Log On


   

Question 824319: The values X = 0, 1, 2, 3, 4 and their respective probabilities .12, .08, ?, .34, .14 shows a distribution for the number of high school years that students at a local high school study a single foreign language. What is the probability that X=2?

A) .42
B) .2
C) unable to determine
D) .32
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
X    P(X)
--------- 
0    .12
1    .08 
2     ?
3    .34
4    .14

For this to be a probability distribution, the sum
of the probabilities must = 1.  So since the probability
of the other four values of X have sum
.12+.08+.34+.14 = .68, then P(2) = 1.00-.68 = .32 and the
distribution is:

X    P(X)
--------- 
0    .12
1    .08 
2    .32
3    .34
4    .14
--------
Sum = 1

Edwin