In multivariable calculus and in statistics courses it is shown that Loover –e-(1/2)(0/0)2 dx = 1, -20 o 25 for any positive o. The function 1 f(x) ,-(1/2)6/0)2 021 is the normal density function with mean y = 0 and standard deviation o. The probability that a randomly chosen value described by this distribution lies in [a, b] is given by so f (x) dx. Approximate to within 10-5 the probability that a randomly chosen value described by this distribution will lie in a. (-0, 0] b. [-20, 20] c. [-30, 30]

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