Mish L.
asked 01/26/22Find area under the standard normal distribution represented by each probability. (Round to 4 decimal places)
a) P(Z < 0.11):
b) P(Z > 0.4):
c) P(-0.66 < Z < 1.93):
d) P(Z = 1.38):
2 Answers By Expert Tutors
A) .54
B) .34
C) .72
D) 0
Denise G. answered 01/26/22
Algebra, College Algebra, Prealgebra, Precalculus, GED, ASVAB Tutor
Do you know how to use the z table? I am including the one I used for reference. This one shows the area to the left of the value given (or less than). https://www.dummies.com/article/academics-the-arts/math/statistics/how-to-use-the-z-table-147241
a) P(Z < 0.11): This would come straight from the table. 0.5438
b) P(Z > 0.4): You would have to take the value from the table and subtract from 1. 1-.6554 = 0.3446
c) P(-0.66 < Z < 1.93): Area under 1.93 - Area under -0.66 would give the value between these 2 values.
0.9732 - 0.2546 = 0.7186
d) P(Z = 1.38): = None, there is no area under the curve at a single value
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Jon S.
Have you tried to look up these probabilities using the standard normal probability table (manually) or via calculator (TI-84) or using Excel?01/26/22