(Solved): Let \( Z \) be a standard normal random variable and calculate the following probabilities, drawin ...

Let \( Z \) be a standard normal random variable and calculate the following probabilities, drawing pictures wherever appropriate. (Round your answers to four decimal places.) (a) \( P(0 \leq Z \leq 2.23) \) (b) \( P(0 \leq Z \leq 2) \) (c) \( P(-2.70 \leq Z \leq 0) \) (d) \( P(-2.70 \leq Z \leq 2.70) \) (e) \( P(Z \leq 1.63) \) See the rounding prompt for how many decimal places are needed.