K Twenty-four subjects volunteer for a study of a new cold medicine. Eleven of the volunteers are ages 20-39, 7 are ages 40-59, and 6 are age 60 or older. If 7 volunteers are selected at random, find the following probabilities. (a) the probability that all the volunteers selected are ages 20-39 (b) the probability that 5 of the volunteers are ages 20-39 and 2 are age 60 or older (c) the probability that 2 of the volunteers are ages 40-59 (a) The probability that all the volunteers selected are ages 20-39 is (Type an integer or a decimal rounded to five decimal places as needed.)

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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**Transcription for Educational Website:**

**Study on New Cold Medicine: Probability Analysis**

Twenty-four subjects volunteer for a study of a new cold medicine. The age distribution of the volunteers is as follows:
- Eleven volunteers are ages 20-39
- Seven volunteers are ages 40-59
- Six volunteers are age 60 or older

If three volunteers are selected at random, calculate the following probabilities:

(a) The probability that all the volunteers selected are ages 20-39: [__________]  
*(Type an integer or a decimal rounded to five decimal places as needed.)*

(b) The probability that 5 of the volunteers are ages 20-39 and 2 are age 60 or older.

(c) The probability that 2 of the volunteers are ages 40-59.
Transcribed Image Text:**Transcription for Educational Website:** **Study on New Cold Medicine: Probability Analysis** Twenty-four subjects volunteer for a study of a new cold medicine. The age distribution of the volunteers is as follows: - Eleven volunteers are ages 20-39 - Seven volunteers are ages 40-59 - Six volunteers are age 60 or older If three volunteers are selected at random, calculate the following probabilities: (a) The probability that all the volunteers selected are ages 20-39: [__________] *(Type an integer or a decimal rounded to five decimal places as needed.)* (b) The probability that 5 of the volunteers are ages 20-39 and 2 are age 60 or older. (c) The probability that 2 of the volunteers are ages 40-59.
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