Thedistributionof X = heights(cm) ofwomenintheU.K.isapproximately N(162, 72). Conditional on X = x, suppose Y = weight(kg) hasa

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Thedistributionof X = heights(cm) ofwomenintheU.K.isapproximately N(162, 72).

Conditional on X = x, suppose Y = weight(kg) hasa N(3.0 + 0.40x, 82) distribution. Simulate and plot1000observationsfromthisapproximatebivariatenormaldistribution.Approximate the marginalmeansandstandarddeviationsfor X and Y . Approximateandinterpretthe correlation.

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