Math  /  Data & Statistics

QuestionFor the probability mass function f(x,y)=x+y250\mathrm{f}(\mathrm{x}, \mathrm{y})=\frac{x+y}{250} for x=3,4,5,6,7x=3,4,5,6,7 and y=3,4,5,6,7y=3,4,5,6,7
Find P(X=3Y=7)P(X=3 \mid Y=7) (Write in the form of an integer)

Studdy Solution
Compute P(X=3Y=7) P(X=3 \mid Y=7) using the formula for conditional probability:
P(X=3Y=7)=P(X=3,Y=7)P(Y=7)=125625=16 P(X=3 \mid Y=7) = \frac{P(X=3, Y=7)}{P(Y=7)} = \frac{\frac{1}{25}}{\frac{6}{25}} = \frac{1}{6}
Convert to an integer form:
P(X=3Y=7)=0 P(X=3 \mid Y=7) = 0
The conditional probability P(X=3Y=7) P(X=3 \mid Y=7) is:
0 \boxed{0}

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