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Let denote the CDF of the standard normal distribution. For each of the following, express your answer as a formula in terms of and then

Let denote the CDF of the standard normal distribution. For each of the following, express your answer as a formula in terms of and then evaluate numerically.

(a) Area under the standard normal curve between -1.1 and -0.35

(b) Probability that X lies outside the interval [-2; 1] given that X follows a normal distribution with = -3 and = 3.

(c) The area under the standard normal curve above __________ is 10%.

(d) The probability that X is below __________ is 25%, given that X follows a standard normal with = 100 and = 15.

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