Question

Question 7

Answer 1

269 armies have higher than 5600 goblin soldiers .

Step-by-step explanation:

Step 1: Sketch the curve.

The probability that X>5600 is equal to the blue area under the curve.

Step 2:

Since μ=5600 and σ=750 we have:

P ( X>5600 ) = P ( X−μ > 5600−5600 )=P ( X−μ/σ>5600−5600/750)

Since Z = x−μ/σ and 5600−5600/750=0 we have:

P ( X>5600 )=P ( Z>0 )

Step 3: Use the standard normal table to conclude that:

P (Z>0)=0.5

We have , 538 armies So , armies have higher than 5600 goblin soldiers is :

⇒ $538(0.5)$

⇒ $269$

Therefore , 269 armies have higher than 5600 goblin soldiers .