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Chapter 5: Q 5.123 (page 226)

Suppose that P(Z > 1.96) = 0.025. Find P (Z < 1.96) .(Hint: Use the complementation rule.)

Short Answer

Expert verified

P (Z≤ 1.96) = 0.975

Step by step solution

01

Step 1. Given information

P(Z > 1.96) = 0.025

02

Step 2. Concept used

For any event A, P(A') = 1-P(A)

03

Step 3. Solution

Now, as shown below, compute the probability.

P (Z ≤ 1.96) = 1-P (Z > 1.96)

= 1 - 0.025

= 0.975

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