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1. Some of the common medications to help people with insomnia fall asleep include Ambien, Lunesta and Sonata. Ambien CR is a

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f(z) : S 0.05 04 * 4 10 -0.0025 (x-30) if 102 x 430 to otherwise f(x) is a & valid P.DIF, (a) If then fta) dx = ! Ad + tada +do, we can say that f) is a valid pwobability demity function will fall asleep within 5 (6) P (The person minutes) f(a) da 0.-0.0025 (x-3) da 20 30 x -- 0.0025 69 -0.0025 * 309-30 + 20x30 IN -0.0025 1 600 - 200 - 4507 E-0.0025 - 50 = 0.125 of peopleThen Probability of Success = = P ( x 415) 10 da 1+x) dx + 15 10.05 da + -0.0025 ( (x-30) da D = 0.05 X10 + (-0 72 0.5 -0.002fall Probability that exactly 14 people аkluch sueets fulld (=1ч) ар-19 2. зв. о х (о-н#s) (о» 2xias 2. 380 - 609 25 х (с. -

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