Answer
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P(x<-1.25) = 0.10565
↓Steps Explained:↓
Given X = 3, μ = 4, and σ = 0.8
Calculate P(X < Z)
Z-score formula
Using the Normal Distribution, Calculate P(X < 3)
| Z = | X - μ |
| σ/√1 |
| Z = | 3 - 4 |
| 0.8/√1 |
| Z = | -1 |
| 0.8/1 |
| Z = | -1 |
| 0.8 |
Z = -1.25
From the table below, we see that our Z value is = 0.39435
Z-table Lookup Value
The z-table probability runs from 0 to z and -z to 0
Z value = 0.39435
Since that represents ½ of the graph, we subtract our value from 0.5 → 0.5 - 0.39435
P(x<-1.25) = 0.10565
Final Answer
P(x<-1.25) = 0.10565Related Calculators: Negative Binomial Distribution | Geometric Distribution | Binomial Distribution