📚 Essential Concepts

🔍

Logical Variables

TRUE & FALSE → FALSE
yield > 50 → TRUE/FALSE

Compare crop yields, filter data, and make logical decisions in R.

Example:
high_yield <- yield > 60
drought <- rain < 10 & temp > 85
🎯

Random Sampling

sample(1:100, 10)
set.seed(123)

Select representative samples from crop populations for analysis.

Example:
sample(1:1000, 20)
→ [45, 123, 789, 234, ...]
📊

Probability Distributions

P(event) = favorable/total
table(data) / length(data)

Calculate germination rates and pest occurrence probabilities.

Example:
germinated/total = 85/100 = 0.85
85% germination rate
📈

Normal Distribution

rnorm(n, mean, sd)
pnorm(x, μ, σ)

Model crop yields and rainfall patterns with normal curves.

Example:
rnorm(100, 60, 8)
→ [58.2, 65.1, 52.8, ...]

🎮 Interactive Simulations

🪙 Seed Germination Simulator

Simulate seed germination (like coin flips) to see probability in action!

🎲 Pest Count Simulator

Roll dice to simulate pest counts and see distribution patterns!

📈 Normal Distribution Explorer

See how changing the mean and spread affects the bell curve!

60
8

🧮 Agricultural Probability Calculator

Input Your Data

Results

Enter data and click calculate to see results!

📊 Distribution Comparison Lab

Distribution Histogram

Statistics Summary

Generate a distribution to see statistics!

🎯 Practice Quiz

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🌾 Agricultural Applications

🌱 Seed Germination

Use probability to predict germination rates and plan planting strategies.

P(germination) = germinated_seeds / total_seeds

Essential for planning planting density and predicting harvest yields.

🌧️ Weather Patterns

Model rainfall and temperature using normal distributions for crop planning.

rainfall ~ N(μ=25, σ=8) inches/month

Critical for irrigation scheduling and crop selection decisions.

🐛 Pest Management

Calculate pest occurrence probabilities to optimize treatment timing.

P(pest_outbreak) = historical_outbreaks / years

Helps optimize treatment timing and reduce unnecessary pesticide use.

📈 Yield Prediction

Use sampling to estimate crop yields and plan harvest logistics.

sample_mean ± margin_of_error

Essential for planning harvest logistics and storage capacity.

🔬 Quality Control

Sample products to ensure quality standards and minimize waste.

sample(population, n, replace=FALSE)

Critical for maintaining product standards and customer satisfaction.

💰 Risk Assessment

Quantify financial risks using probability distributions for better decisions.

expected_value = Σ(outcome × probability)

Helps farmers make informed decisions about crop insurance and investments.