Answer
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P(x<-0.682) = 0.248252
↓Steps Explained:↓
Given X = 6.4, μ = 7.9, and σ = 2.2
Calculate P(X < Z)
Z-score formula
Using the Normal Distribution, Calculate P(X < 6.4)
| Z = | X - μ |
| σ/√1 |
| Z = | 6.4 - 7.9 |
| 2.2/√1 |
| Z = | -1.5 |
| 2.2/1 |
| Z = | -1.5 |
| 2.2 |
Z = -0.682
From the table below, we see that our Z value is = 0.251748
Z-table Lookup Value
The z-table probability runs from 0 to z and -z to 0
Z value = 0.251748
Since that represents ½ of the graph, we subtract our value from 0.5 → 0.5 - 0.251748
P(x<-0.682) = 0.248252
Final Answer
P(x<-0.682) = 0.248252Take the Quiz Switch to Chat Mode
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