In: Statistics and Probability
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 ≤ Z ≤
2.97)
(b) P(0 ≤ Z ≤ 2)
(c) P(−2.50 ≤
Z ≤ 0)
(d) P(−2.50 ≤
Z ≤ 2.50)
(e) P(Z ≤ 1.03)
(f) P(−1.75 ≤
Z)
(g) P(−1.50 ≤
Z ≤ 2.00)
(h) P(1.03 ≤ Z ≤
2.50)
(i) P(1.50 ≤ Z)
(j) P(|Z| ≤ 2.50)