NO.PZ2016062402000003
问题如下:
The joint probability distribution of random variables X and Y is given by f{(x,y)}=k * x * y for x = 1,2,3, y = 1,2,3, and k is a positive constant. What is the probability that X+Y will exceed 5?
选项:
A.1/9
B.1/4
C.1/36
D.Cannot be determined
解释:
The function x*y is described in the following table. The sum of the entries is 36. The scaling factor k must be such that the total probability is 1. Therefore, we have k=1/36. The table shows one instance where X+Y > 5,which is x=3, y=3. The probability is p = 9/36 = 1/4.
k等于1/36不是x*y的概率吗,x+y和这个k有什么关系