Answer
Success!
P(x<0.75) = 0.773373
↓Steps Explained:↓
Given X = 8, μ = 5, and σ = 4
Calculate P(X < Z)
Z-score formula
Using the Normal Distribution, Calculate P(X < 8)
| Z = | X - μ |
| σ/√1 |
| Z = | 8 - 5 |
| 4/√1 |
| Z = | 3 |
| 4/1 |
| Z = | 3 |
| 4 |
Z = 0.75
From the table below, we see that our Z value is = 0.273373
Z-table Lookup Value
The z-table probability runs from 0 to z and -z to 0
Z value = 0.273373
Since that represents ½ of the graph, we add 0.5 to our value → 0.5 + 0.273373
P(x<0.75) = 0.773373
Final Answer
P(x<0.75) = 0.773373Take the Quiz Switch to Chat Mode
Related Calculators: Negative Binomial Distribution | Geometric Distribution | Binomial Distribution