Question

Through out the movies and the books which are better :) the Ring Wraths appear to chase Frodo. If the mean number of Wraths in any fight is 5 and the standard deviation is 1. Find the probability of between 4 and 8 participating in a fight. Be sure you but your percent in decimal form.

Answer 1

The probability of between 4 and 8 participating in a fight is: 84%

How to find the probability from z-score?

The formula for z-score here is:

z = (x' - μ)/σ

where:

x' is sample mean

μ is population mean

σ is standard deviation

We are given:

x₁ = 4

x₂ = 8

μ = 5

σ = 1

Thus:

z₁ = (4 - 5)/1

z₁ = -1

Similarly:

z₂ = (8 - 5)/1

z₂ = 3

Using probability from z-score formula gives us:

p-value = 0.84 = 84%