In studies for a medication, 7 percent of patients gained weight as a side effect. Suppose 652 patients are randomly selected. Use the normal approximation to the binomial to approximate the probability that (a) exactly 46 patients will gain weight as a side effect. (b) no more than 46 patients will gain weight as a side effect. (c) at least 59 patients will gain weight as a side effect. What does this result suggest? (a) P(46)= (Round to four decimal places as needed)
In studies for a medication, 7 percent of patients gained weight as a side effect. Suppose 652 patients are randomly selected. Use the normal approximation to the binomial to approximate the probability that (a) exactly 46 patients will gain weight as a side effect. (b) no more than 46 patients will gain weight as a side effect. (c) at least 59 patients will gain weight as a side effect. What does this result suggest? (a) P(46)= (Round to four decimal places as needed)
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section: Chapter Questions
Problem 14T: An unbalanced coin is weighted so that the probability of heads is 0.55. The coin is tossed ten...
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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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