Answer:
P(x=25)=P(z=2)=0.9972 or 99.72%
Step-by-step explanation:
Mean = 18 pounds
Standard Deviation = 3.5 pounds
x= 25
We need to find P(x=25)
First, we need to find z-score using formula: [tex]z-score=\frac{x-\mu}{\sigma}[/tex]
Finding z-score when x=25
[tex]z-score=\frac{x-\mu}{\sigma}\\z-score=\frac{25-18}{3.5}\\z-score=2[/tex]
So, we need to find P(z=2)=P(x=25)
Looking at z-score table we can find P(z=2)
P(z=2)=0.9972 or 99.72%
So, P(z=2)=0.9972 or 99.72%
