**Predicting the Number of Red Beads in Gerald's Bag****Problem Statement:**Gerald buys a bag of 7,500 assorted beads online. A random sample of 150 beads contains 17 red beads. Predict the number of red beads in the bag of assorted beads that Gerald bought.**Solution:**To predict the number of red beads in the entire bag, we can use proportions. Here's a step-by-step method:1. Determine the proportion of red beads in the sample. - Number of red beads in the sample: 17 - Total number of beads in the sample: 150 Proportion of red beads in the sample = $\frac{17}{150}$2. Use this proportion to predict the number of red beads in the entire bag. - Total number of beads in the bag: 7,500 Predicted number of red beads = Proportion of red beads in the sample $\times$ Total number of beads in the bag Predicted number of red beads = $\frac{17}{150} \times 7500$3. Calculate the result: - $\frac{17}{150}$ ≈ 0.1133 - 0.1133 $\times$ 7500 ≈ 849.75Therefore, we can predict that there are approximately 850 red beads in the bag of 7,500 assorted beads that Gerald bought.

Given that in a random sample of 150 beads there are 17 red beads. So the probability of getting a…

Answered: 2. Gerald buys a bag of 7,500 assorted…

2. Gerald buys a bag of 7,500 assorted beads online. A random sample of 150 beads contains 17 red beads. Predict the number of red beads in the bag of assorted beads that Gerald bought.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

**Predicting the Number of Red Beads in Gerald's Bag**

**Problem Statement:**
Gerald buys a bag of 7,500 assorted beads online. A random sample of 150 beads contains 17 red beads. Predict the number of red beads in the bag of assorted beads that Gerald bought.

**Solution:**
To predict the number of red beads in the entire bag, we can use proportions. Here's a step-by-step method:

1. Determine the proportion of red beads in the sample.
- Number of red beads in the sample: 17
- Total number of beads in the sample: 150

Proportion of red beads in the sample = $\frac{17}{150}$

2. Use this proportion to predict the number of red beads in the entire bag.
- Total number of beads in the bag: 7,500

Predicted number of red beads = Proportion of red beads in the sample $\times$ Total number of beads in the bag

Predicted number of red beads = $\frac{17}{150} \times 7500$

3. Calculate the result:
- $\frac{17}{150}$ ≈ 0.1133
- 0.1133 $\times$ 7500 ≈ 849.75

Therefore, we can predict that there are approximately 850 red beads in the bag of 7,500 assorted beads that Gerald bought.

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