The standard normal curve shown below is a probability density curve for a
continuous random variable. This means that the area underneath the entire
curve is 1. What is the area of the shaded region between the two z scores
indicated in the diagram?
Z=-1.2 Z=0.85
A. 0.6825
B, 0.8937
c. 0.4263
D. 0.6375
E. 0,6872

The standard normal curve shown below is a probability density curve for a continuous random variable This means that the area underneath the entire curve is 1 class=

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Answer:

  E. 0.6872

Step-by-step explanation:

An appropriate calculator or Z-table is needed for answering questions like this. My calculator tells me the area is ...

  0.687267787 ≈ 0.6873

____

The web app shown in the attachment gives the same 4-digit value.

____

If you look up the area values in a table, you might find ...

  p(z < -1.2) = 0.1151

  p(z < 0.85) = 0.8023

Then the difference is ...

  p(-1.2 < z < 0.85) = 0.8023 -0.1151 = 0.6872

_____

Note that the least significant digit of the difference between rounded numbers often cannot be trusted to be accurate--as in this case.

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