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The image contains a problem related to statistics and probability, specifically focused on binomial distribution. Here's a breakdown of the problem:

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### Problem Description:

A product's lifecycle is categorized into four classes: **Failed on Arrival (FOA)**, **Good**, **Low**, and **High**. The corresponding probabilities for each class are provided in a table.

- **FOA**: 0.05
- **Good**: 0.70
- **Low**: 0.15
- **High**: 0.10

**Task 1**: 
Determine the probability that at most 2 products out of 4 sampled units belong to the **Good** class. This involves calculating the cumulative probability of getting 0, 1, or 2 "Good" products in a binomial distribution where the probability of success (being in the Good class) is 0.70.

**Task 2**:
Estimate the mean and standard deviation of the number of "Good" products in a sample of 4 units.

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### Solution Approach:

1. **Binomial Distribution Formula**:
   The binomial probability mass function is given by:
   \[
   P(X = k) = \binom{n}{k} p^k (1-p)^{n-k}
   \]
   where \( n \) is the number of trials (4), \( p \) is the probability of success (0.70), and \( k \) is the number of successful outcomes.

2. **Cumulative Probability**:
   For task 1, you'll need to calculate:
   \[
   P(X \leq 2) = P(X=0) + P(X=1) + P(X=2)
   \]

3. **Mean and Standard Deviation**:
   - The **mean** (μ) of a binomial distribution is given by:
     \[
     \mu = n \times p
     \]
   - The **standard deviation** (σ) is:
     \[
     \sigma = \sqrt{n \times p \times (1 - p)}
     \]

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Would you like me to calculate the exact values for these probabilities and parameters?

Determine the probability that at most 2 products out of 4 sampled units belong to the 'Good' class and estimate the mean and standard deviation of the number of 'Good' products in a sample of 4 units.

Learn how to determine the probability of at most 2 products in the 'Good' class out of 4 samples, and estimate the mean and standard deviation of 'Good' products using the binomial distribution. This detailed guide includes key probability and statistics concepts, with suitable formulas for Grades 10-12.

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