a. Check whether the following can be defined as probability mass function, and explain why? X i. ii. f(x) = f(x) = 12 for x = 0,1,2,3,4 3x + 1 50 for x = 0,1,2,3,4,5 k b. Given that f(x) is a probability mass function for a random variable 2* that can take on the values x = 0,1,2,3, and 4. Determine the value of k

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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a. Check whether the following can be defined as probability mass function,
and explain why?
İ.
ii.
f(x) =
f(x) =
X
12
3x+1
50
b. Given that ƒ(x):
for x = 0,1,2,3,4
k
is a probability mass function for a random variable
2*
that can take on the values x = 0,1,2,3, and 4. Determine the value of k
-
for x=0,1,2,3,4,5
Transcribed Image Text:a. Check whether the following can be defined as probability mass function, and explain why? İ. ii. f(x) = f(x) = X 12 3x+1 50 b. Given that ƒ(x): for x = 0,1,2,3,4 k is a probability mass function for a random variable 2* that can take on the values x = 0,1,2,3, and 4. Determine the value of k - for x=0,1,2,3,4,5
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Step 1: Result

P(X=x) is the pmf iff P(X=x)=1

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