Given X = 10.5, μ = 10, and σ = 1.2
Calculate P(X > Z)
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
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