Suppose a discrete random v mass function (where c> 0 is a constant): 1 5c p(w) 2c

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Suppose a discrete random variable W has the following probability
mass function (where c > 0 is a constant):
w
1
2
3
5c
p(w)
20
4
2
4
(a) What is the value of c?
(b) Find the standard deviation of W.
Transcribed Image Text:Suppose a discrete random variable W has the following probability mass function (where c > 0 is a constant): w 1 2 3 5c p(w) 20 4 2 4 (a) What is the value of c? (b) Find the standard deviation of W.
Expert Solution
Step 1

According to the sum,

Statistics homework question answer, step 1, image 1

a) We know, w=04p(w)=1

So, 2c+5c/4+c/2+c/4=1

Or,4c=1

Or, c=1/4

The value os c is 1/4.

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