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

Chapter 3, Problem 21E

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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.

(a) \(P(X \geq 2)\)         (b) \(P(X<1.65)\)       (c) \(P(X=1.5)\)         (d) \(P(X<1.3\) or \(X>21)\)

Equation transcription:

Text transcription:

P(X \geq 2)

P(X<1.65)

P(X=1.5)

P(X<1.3

X>21)

Questions & Answers

QUESTION:

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

(a) \(P(X \geq 2)\)         (b) \(P(X<1.65)\)       (c) \(P(X=1.5)\)         (d) \(P(X<1.3\) or \(X>21)\)

Equation transcription:

Text transcription:

P(X \geq 2)

P(X<1.65)

P(X=1.5)

P(X<1.3

X>21)

ANSWER:

Solution:

Step 1 of 3:

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

 

                                               

x

1.25

1.5

1.75

2

2.25

f(x)

0.2

0.4

0.1

0.2

0.1

  1. P(X
  2. P(X<1.65)
  3. P(X=1.5)
  4. P(X<1.3 or X>21)


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