For Exercises 3-17 to 3-21, verify that the

Chapter 3, Problem 19E

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QUESTION:

For Exercises 3-17 to 3-21, verify that the following functions are probability mass functions, and determine the requested probabilities.

\(f(x)=\frac{2 x+1}{25}, x=0,1,2,3,4\)
(a) \(P(X=4)\)
(b) \(P(X \leq 1)\
)
(c) \(P(2 \leq x<4)\)
(d) \(P(X>-10)\)

Equation transcription:

Text transcription:

f(x)=frac{2 x+1}{25}, x=0,1,2,3,4

P(X=4)

P(X leq 1)

P(2 leq x<4)

P(X>-10)

Questions & Answers

QUESTION:

For Exercises 3-17 to 3-21, verify that the following functions are probability mass functions, and determine the requested probabilities.

\(f(x)=\frac{2 x+1}{25}, x=0,1,2,3,4\)
(a) \(P(X=4)\)
(b) \(P(X \leq 1)\
)
(c) \(P(2 \leq x<4)\)
(d) \(P(X>-10)\)

Equation transcription:

Text transcription:

f(x)=frac{2 x+1}{25}, x=0,1,2,3,4

P(X=4)

P(X leq 1)

P(2 leq x<4)

P(X>-10)

ANSWER:

Solution:

Step 1 of 3:

We have to verify the given function is a probability mass function, also we have to find the given probabilities.

                                  , x=0, 1, 2, 3, 4.

  1. P(X=4)
  2. P(X
  3. P(2
  4. P(X>-10)


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