▾ Part 1 Rework problem 18 in section 4.2 of your text, involving selecting balls from a box of numbered balls. Assume that the box contains balls numbered from 1 through 18, and that 3 are selected. A random variable X is defined as 2 times the number of odd balls selected, plus 3 times the number of even. How many different values are possible for the random variable X? 4 ▾ Part 2 Fill in the table below to complete the probability density function. Be certain to list the values of X in ascending order. Value of X Probability

A First Course in Probability (10th Edition)
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ISBN:9780134753119
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Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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**Part 1**

Rework problem 18 in section 4.2 of your text, involving selecting balls from a box of numbered balls. Assume that the box contains balls numbered from 1 through 18, and that 3 are selected. A random variable \( X \) is defined as 2 times the number of odd balls selected, plus 3 times the number of even.

How many different values are possible for the random variable \( X \)? [Input: 4]

---

**Part 2**

Fill in the table below to complete the probability density function. Be certain to list the values of \( X \) in ascending order.

| Value of X | Probability |
|------------|-------------|
|            |             |
|            |             |
|            |             |
|            |             |
Transcribed Image Text:**Part 1** Rework problem 18 in section 4.2 of your text, involving selecting balls from a box of numbered balls. Assume that the box contains balls numbered from 1 through 18, and that 3 are selected. A random variable \( X \) is defined as 2 times the number of odd balls selected, plus 3 times the number of even. How many different values are possible for the random variable \( X \)? [Input: 4] --- **Part 2** Fill in the table below to complete the probability density function. Be certain to list the values of \( X \) in ascending order. | Value of X | Probability | |------------|-------------| | | | | | | | | | | | |
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