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(5) If F(x) is the CDF of a Normal distribution with mean 50 and variance 16,...

(5) If F(x) is the CDF of a Normal distribution with mean 50 and variance 16, and G(x) is the CDF of a Normal distribution with mean 25 and variance 9, is the function H(x) = (1- c)F(x) + cG(x) also a legitimate CDF (for any positive fraction c)? What’s the pdf for H(x)? Can you find the mean and the variance for H(x) in terms of those parameters for F(x) and G(x)?

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Given that CDF of Normal distribution Fax with mean (he) = 50, variance (07-16 G(X) with mean (4)=25, Variance(83)=9 And Hon

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