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Unformatted text preview: From the name of the random variable, what are its mean and variance? 2. Suppose there are N people in a population. From each person two variables, X and Y , are measured. Define ܺ ൌ ቄ 1 if the ݅th person is a female otherwise Suppose Y i is the income of the i th person. Use the two variables to define the average and variance of income of female. 3. Suppose X and Y are random variables with means ߤ and ߤ and variances ߪ ଶ and ߪ ଶ , respectively. (a) Is ܧ ቀ ቁ ൌ ఓ ೊ ఓ true? (b) Is ܧ ቀ ቁ ൌ ఓ ೊ ఓ true if X and Y are uncorrelated? (c) Is ܧ ቀ ቁ ൌ ఓ ೊ ఓ true if X and Y are independent? (d) How do we derive ܧ ቀ ቁ ? (e) How do we derive ܸ ቀ ቁ ?...
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- Spring '16
- Variance, Yi, probability distribution function