(Solved): Let \( \mathrm{Z} \) be the standard normal random variable, answer the following questions. (Give ...

Let \( \mathrm{Z} \) be the standard normal random variable, answer the following questions. (Give answers with 3 digits after dec a) [1pt] What is the probability, \( P(Z=1.22) \) ? Answer Submitted: Your final submission will be graded when the time limit is reached. Tries \( 1 / 90 \) b) [1pt] What is the probability, \( \mathrm{P}(-1.32 \leq 2 \leq 1.22) ? \) Tries \( 0 / 99 \) c) [2pts] what is the probability, \( \mathrm{P}(|Z-0.7|>1.22) \) ? Tries \( 0 / 99 \) d) [2pts] given \( a=0.1 \), what is the critical value \( Z_{a} \) ? Tries \( 0 / 99 \) Suppose the length of components produced by a factory follows the normal distribution with mean \( 10.9 \mathrm{~cm} \) and st e) [1pt] What is the probability that the length of a random component is between \( 10.4 \mathrm{~cm} \) and \( 12.4 \mathrm{~cm} \) ? Tries \( 0 / 99 \)