Answer
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P(x>2.5) = 0.00621
↓Steps Explained:↓
Given X = 10.5, μ = 10, and σ = 1.2
Calculate P(X > Z)
Z-score formula
Using the Normal Distribution, Calculate P(X > 10.5)
| Z = | X - μ |
| σ/√36 |
| Z = | 10.5 - 10 |
| 1.2/√36 |
| Z = | 0.5 |
| 1.2/6 |
| Z = | 0.5 |
| 0.2 |
Z = 2.5
From the table below, we see that our Z value is = 0.49379
Z-table Lookup Value
The z-table probability runs from 0 to z and -z to 0
Z value = 0.49379
Since that represents ½ of the graph, we subtract our value from 0.5 → 0.5 - 0.49379
P(x>2.5) = 0.00621
Final Answer
P(x>2.5) = 0.00621Take the Quiz Switch to Chat Mode
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