Consider the standard normal distribution with mean (mu=0) and standard deviation (sigma=1). (a) What is the probability

Question:

Consider the standard normal distribution with mean \(\mu=0\) and standard deviation \(\sigma=1\).

(a) What is the probability that an outcome \(Z\) is greater than 2.60?

(b) What is the probability that \(Z\) is less than 1.35?

(c) What is the probability that \(Z\) is between -1.70 and 3.10?

(d) What value of \(Z\) cuts off the upper \(15 \%\) of the distribution?

(e) What value of \(Z\) marks off the lower \(20 \%\) of the distribution?

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