Answer:
Kindly check explanation
Step-by-step explanation:
For a normal distribution with :
Mean(m) = 0
Standard deviation (s) = 1
Calculate :
(a) less than 1.17 NM Probability
Zscore = (x - m) / s = (1.17 - 0) / 1 = 1.17
P(z < 1.17) = 0.879
(b) between 1.04 NM and 1.99 NM Probability
Zscore = (x - m) / s = (1.04 - 0) / 1 = 1.04
P(z < 1.04) = 0.8508
Zscore = (x - m) / s = (1.99 - 0) / 1 = 1.99
P(z < 1.99) = 0.9767
(0.9767 - 0.8508) = 0.1259
(c) greater than 0.93 NM Probability
P(Z > 0.93) = 1 - p(Z < 0.93) = 1 - 0.8238 = 0.1762
(d) between 0.24 NM and 0.73 NM Probability
P(Z < 0.24) = 0.5948
P(Z <0.73) = 0.7673
0.7673 - 0.5948 = 0.1725
(e) less than or equal to 2.3 NM Probability
P(Z ≤ 2.3) = 0.9893
(f) greater than 2.22 NM or less than .65 NM
P(Z > 2.22) = 1 - p(Z < 2.22) = 1 - 0.9868 = 0.0132
P(Z < 0.65) = 0.7422
0.7422 - 0.0132 = 0.729
(g) greater than or equal to 2.0 NM Probability
P(Z ≥2) = 1 - p(Z ≤ 2)
1 - 0.97725 = 0.02275
