College Algebra
College Algebra
7th Edition
ISBN: 9781305115545
Author: James Stewart, Lothar Redlin, Saleem Watson
Publisher: Cengage Learning
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**Probability Analysis of Medication Side Effects**

In studies for a medication, 7 percent of patients gained weight as a side effect. Suppose 652 patients are randomly selected. Using the normal approximation to the binomial, we want to approximate the probability that:

1. **Exactly 46 patients will gain weight as a side effect.**
2. **No more than 46 patients will gain weight as a side effect.**
3. **At least 59 patients will gain weight as a side effect.**

Let's solve the specific cases provided:

### (a) Exactly 46 Patients

**Problem:**
(a) P(46) = ___ (Round to four decimal places as needed)

### Instructions:
1. Utilize the normal approximation method to approximate the probability.
2. Input the computed value in the box provided.
3. Ensure the final value is rounded to four decimal places.

### Additional Support:
For guided assistance, you may choose one of the following options:
- **Help me solve this:** Step-by-step solution guidance.
- **View an example:** Review a similar example problem and its solution.
- **Get more help:** Access a variety of additional resources for deeper understanding.

### Interface Actions:
- **Clear all:** Removes all inputs to start fresh.
- **Check answer:** Submits the provided answer for verification.

---

Use this as a learning tool to understand how probabilities are calculated in the context of medication side effects in clinical studies. The provided interface ensures interactive and step-by-step learning for each probability calculation scenario.
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Transcribed Image Text:**Probability Analysis of Medication Side Effects** In studies for a medication, 7 percent of patients gained weight as a side effect. Suppose 652 patients are randomly selected. Using the normal approximation to the binomial, we want to approximate the probability that: 1. **Exactly 46 patients will gain weight as a side effect.** 2. **No more than 46 patients will gain weight as a side effect.** 3. **At least 59 patients will gain weight as a side effect.** Let's solve the specific cases provided: ### (a) Exactly 46 Patients **Problem:** (a) P(46) = ___ (Round to four decimal places as needed) ### Instructions: 1. Utilize the normal approximation method to approximate the probability. 2. Input the computed value in the box provided. 3. Ensure the final value is rounded to four decimal places. ### Additional Support: For guided assistance, you may choose one of the following options: - **Help me solve this:** Step-by-step solution guidance. - **View an example:** Review a similar example problem and its solution. - **Get more help:** Access a variety of additional resources for deeper understanding. ### Interface Actions: - **Clear all:** Removes all inputs to start fresh. - **Check answer:** Submits the provided answer for verification. --- Use this as a learning tool to understand how probabilities are calculated in the context of medication side effects in clinical studies. The provided interface ensures interactive and step-by-step learning for each probability calculation scenario.
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