Twenty percent of all undergraduates at a university are chemistry majors. In a random sample of six students, find the probability that exactly three are chemistry majors. The probability that exactly three are chemistry majors is (Type an integer or a decimal. Round to four decimal places as needed.)

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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**Transcribed Text:**

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**Probability Problem**

Twenty percent of all undergraduates at a university are chemistry majors. In a random sample of six students, find the probability that exactly three are chemistry majors.

**Question:**

The probability that exactly three are chemistry majors is [ ].

*(Type an integer or a decimal. Round to four decimal places as needed.)*

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**Explanation:**

The problem involves calculating the probability of a specific outcome using the binomial probability formula. Given that the probability of being a chemistry major is 20% (or 0.2), and a random sample consists of six students, the task is to determine the likelihood that exactly three out of the six students are chemistry majors. This involves using parameters like the number of trials, probability of success, and the number of successes.
Transcribed Image Text:**Transcribed Text:** --- **Probability Problem** Twenty percent of all undergraduates at a university are chemistry majors. In a random sample of six students, find the probability that exactly three are chemistry majors. **Question:** The probability that exactly three are chemistry majors is [ ]. *(Type an integer or a decimal. Round to four decimal places as needed.)* --- **Explanation:** The problem involves calculating the probability of a specific outcome using the binomial probability formula. Given that the probability of being a chemistry major is 20% (or 0.2), and a random sample consists of six students, the task is to determine the likelihood that exactly three out of the six students are chemistry majors. This involves using parameters like the number of trials, probability of success, and the number of successes.
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