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for a standard normal distribution, find the approximate value of p(z ≤…

Question

for a standard normal distribution, find the approximate value of p(z ≤ 0.42). use the portion of the standard normal table below to help answer the question.

zprobability
0.220.5871
0.320.6255
0.420.6628
0.440.6700
0.640.7389
0.840.7995
1.000.8413

16%
34%
66%
84%

Explanation:

Step1: Locate z - value in table

Find 0.42 in the z - column of the standard normal table.

Step2: Read corresponding probability

The probability value corresponding to z = 0.42 is 0.6628.

Step3: Convert to percentage

0.6628×100% = 66.28% ≈ 66%

Answer:

66%