Year 11 CAIE Statistics: Interdisciplinary Comprehensive Problem Training | CAIE 11年级统计：跨学科综合题型训练

📚 Year 11 CAIE Statistics: Interdisciplinary Comprehensive Problem Training | CAIE 11年级统计：跨学科综合题型训练

In CAIE IGCSE Statistics, interdisciplinary questions bridge mathematical techniques and real-world contexts, from predicting genetic traits to analysing economic trends. Mastering these problems requires not only statistical knowledge but also the ability to interpret scenarios from biology, business, geography, physics, and beyond. This comprehensive training will equip you with strategies and examples to excel.

在CAIE IGCSE统计中，跨学科题目将数学方法与现实情境联系起来，从预测遗传特征到分析经济趋势。掌握这些问题不仅需要统计知识，还需要解读生物、商业、地理、物理等领域情境的能力。本综合训练将为你提供策略和示例，助你取得优异成绩。

1. Probability in Genetics: Biology Meets Statistics | 遗传学中的概率：生物学与统计学的交汇

Mendelian genetics provides a classic application of probability. Consider a monohybrid cross where the dominant trait appears with probability 0.75. Using the binomial distribution, P(X=r) = nCr p^r q^(n-r), we can calculate the likelihood of exactly r offspring displaying the dominant trait out of n offspring.

孟德尔遗传学提供了概率的经典应用。考虑一个单基因杂交，显性性状出现的概率为0.75。利用二项分布公式 P(X=r) = nCr p^r q^(n-r)，我们可以计算在n个后代中恰好有r个表现出显性性状的概率。

Example: If 8 pea plants are grown, find the probability that exactly 5 are tall. Here n=8, p=0.75, q=0.25. P(X=5) = 8C5 × (0.75)⁵ × (0.25)³ = 56 × 0.2373 × 0.015625 ≈ 0.2076.

示例：如果种植8株豌豆，求恰好5株为高茎的概率。这里n=8, p=0.75, q=0.25。P(X=5) = 8C5 × 0.75⁵ × 0.25³ =

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