Discrete Counting Distributions: Binomial, Negative Binomial, Hypergeometric

Free SOA Exam P (Probability) lesson in Univariate Random Variables. 14 min read, ~2,113 words.

Binomial( ): successes in independent trials at a constant.,; requires constant and independence. Hypergeometric: successes drawing WITHOUT replacement from items containing.; variance carries the correction. Negative binomial( ): failures before the -th success.,; is geometric. Key-word test: with replacement (or huge population) is binomial; without replacement from a finite population...

What this lesson covers

• Content
• Example 1
• Example 2
• Example 3
• Common Mistakes
• Check Your Understanding
• Exam Shortcuts

Learning objectives

• 2a
• 2b
• 2c
• 2d
• 2e
• 2f

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