Determine the following areas under the standard normal (z) curve. (Round your answers to four decimal
places.)
(a) to the left of -1.29
(b) to the right of 1.29
(c) between and 2
(d) to the right of 0
(e) to the right of -5
(f) between -1.7 and 2.6
(g) to the left of 0.21
Guide On Rating System
Vote
(a) to the left of -1.29:
Using a standard normal distribution table, we find that the area to the left of -1.29 is 0.0981.
(b) to the right of 1.29:
Because the standard normal curve is symmetric about the mean, the area to the right of 1.29 is equal to the area to the left of -1.29. Therefore, the area to the right of 1.29 is also 0.0981.
(c) between -2 and 2:
To find the area between -2 and 2, we calculate the area to the left of 2 (0.9772) and subtract the area to the left of -2 (0.0228).
Area between -2 and 2 = 0.9772 - 0.0228 = 0.9544
(d) to the right of 0:
The standard normal curve is symmetric about the mean, so the area to the right of 0 is equal to the area to the left of 0. Therefore, the area to the right of 0 is 0.5000.
(e) to the right of -5:
Since -5 is an extremely small value compared to the mean of 0, the area to the right of -5 is approximately equal to 1.
Area to the right of -5 ≈ 1
(f) between -1.7 and 2.6:
To find the area between -1.7 and 2.6, we calculate the area to the left of 2.6 (0.9953) and subtract the area to the left of -1.7 (0.0446).
Area between -1.7 and 2.6 = 0.9953 - 0.0446 = 0.9507
(g) to the left of 0.21:
Using a standard normal distribution table, we find that the area to the left of 0.21 is 0.5832.
Got a question with my answer?
Cheapmath.com is completely free!
Asking question is free.
Getting answers is free.
+99