QUESTION IMAGE
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.
| z | probability |
|---|---|
| 0.22 | 0.5871 |
| 0.32 | 0.6255 |
| 0.42 | 0.6628 |
| 0.44 | 0.6700 |
| 0.64 | 0.7389 |
| 0.84 | 0.7995 |
| 1.00 | 0.8413 |
16%
34%
66%
84%
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%
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66%