SOLUTION:  In a group of 12 persons, 3 are left‐handed. Suppose that 2 persons are randomly selected from this group. Let x denote  the number of left‐handed persons in this sam

Algebra ->  Probability-and-statistics -> SOLUTION:  In a group of 12 persons, 3 are left‐handed. Suppose that 2 persons are randomly selected from this group. Let x denote  the number of left‐handed persons in this sam      Log On


   

Question 368830:  In a group of 12 persons, 3 are left‐handed. Suppose that 2 persons are randomly selected from this group. Let x denote 
the number of left‐handed persons in this sample. Write the probability distribution of x. You may draw a tree diagram 
and use it to write the probability distribution.
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
Let X = # left-handed people in a sample of 2 people. Then the possible values of X are 0,1,2.
The probability distribution (which is actually a hypergeometric distribution) is as follows:
p%280%29+=+%28C%283%2C0%29%2AC%289%2C2%29%29%2FC%2812%2C2%29+=+6%2F11,
p%281%29+=+%28C%283%2C1%29%2AC%289%2C1%29%29%2FC%2812%2C2%29+=+9%2F22,
p%282%29+=+%28C%283%2C2%29%2AC%289%2C0%29%29%2FC%2812%2C2%29+=+1%2F22.