Answer
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P(x<-0.214) = 0.416834
↓Steps Explained:↓
Given X = 15, μ = 18, and σ = 14
Calculate P(X < Z)
Z-score formula
Using the Normal Distribution, Calculate P(X < 15)
| Z = | X - μ |
| σ/√1 |
| Z = | 15 - 18 |
| 14/√1 |
| Z = | -3 |
| 14/1 |
| Z = | -3 |
| 14 |
Z = -0.214
From the table below, we see that our Z value is = 0.083166
Z-table Lookup Value
The z-table probability runs from 0 to z and -z to 0
Z value = 0.083166
Since that represents ½ of the graph, we subtract our value from 0.5 → 0.5 - 0.083166
P(x<-0.214) = 0.416834
Final Answer
P(x<-0.214) = 0.416834Take the Quiz
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