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...
icon
Related questions
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.
Transcribed Image Text:**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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON