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Mathematics, 12.11.2020 16:20 darksky4658

A temperature regulator is put in the container of some liquid. The temperature of the temperature regulator is fixed at d degree centigrade, the temperature of the liquid x (degree centigrade) is a random variable, and x ~ n (d,0.5²). (1) if d=90, find the probability p (x<89) (2) if the probability that the temperature of the liquid keeps at least 80 (degree centigrade) is required to be more than 0.99, find the minimum d.

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