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8. Two random variables X and Y, the height and weight of certain animals, have a bivariate normal distribution with mea
Posted: Sun Sep 05, 2021 6:00 pm
by answerhappygod
- 8 Two Random Variables X And Y The Height And Weight Of Certain Animals Have A Bivariate Normal Distribution With Mea 1 (51.76 KiB) Viewed 107 times
8. Two random variables X and Y, the height and weight of certain animals, have a bivariate normal distribution with means 18 cm and 15 kg respectively. The correlation coefficient of X and Y is known to be 0.75. It is also known that height has a standard deviation of 3 cm. The standard deviation of weight is not known, however the conditional variance of weight given height is known to be 1.75 kg. (a) Find the conditional variance of height. (b) Find the expected weight of one of these animals given that it is 17 cm tall. 9. Let