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Given that $z$ is a standard normal random variable, compute the following probabilities. $$\begin{array}{l} (a) {P(z \leq-1.0)} \\ (b) {P(z \geq-1)} \\ (c) {P(z \...

Question

Given that $z$ is a standard normal random variable, compute the following probabilities. $$\begin{array}{l} (a) {P(z \leq-1.0)} \\ (b) {P(z \geq-1)} \\ (c) {P(z \geq-1.5)} \\ (d) {P(-2.5 \leq z)} \\ (e) {P(-3< z \leq 0)}\end{array}$$

Given that $z$ is a standard normal random variable, compute the following probabilities. $$\begin{array}{l} (a) {P(z \leq-1.0)} \\ (b) {P(z \geq-1)} \\ (c) {P(z \geq-1.5)} \\ (d) {P(-2.5 \leq z)} \\ (e) {P(-3< z \leq 0)}\end{array}$$



Answers

Given that $z$ is a standard normal random variable, compute the following probabilities.
$$\begin{array}{l} (a) {P(z \leq-1.0)} \\ (b) {P(z \geq-1)} \\ (c) {P(z \geq-1.5)} \\ (d) {P(-2.5 \leq z)} \\ (e) {P(-3< z \leq 0)}\end{array}$$


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