APFIVE Z-Score for a Discrete Random Variable
Using the highway construction data above, determine whether it would be surprising if workers laid 10 miles of highway in one day. Express your answer in terms of standard deviations above the mean.
| Weather Condition | Miles of Highway Laid | Probability |
|---|---|---|
| Clear | 5 | 0.6 |
| Rain | 2 | 0.3 |
| Snow | 1 | 0.1 |
A
Yes; 10 miles is approximately 3.9 standard deviations above the mean.
B
No; 10 miles is within 1 standard deviation of the mean.
C
No; 10 miles is exactly equal to the mean plus one standard deviation.
D
Yes; 10 miles is about 1.5 standard deviations above the mean.
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