Answer:
Step-by-step explanation:
Let X denotes the length of a randomly selected garden delicious pea pod.
[tex]X\sim Normal(\mu,0.8^2) [/tex]
To find x such that [tex]P(X>\mu+x)=0.01 [/tex]
[tex]\Rightarrow P(\frac{X-\mu}{0.8}>\frac{x}{0.8})=0.01 \\\\\Rightarrow P(\frac{X-\mu}{0.8}\leq \frac{x}{0.8})=0.99 \\\\\Rightarrow \Phi(\frac{x}{0.8})=0.99 \\\\\Rightarrow \frac{x}{0.8}=\Phi^{-1}(0.99)=2.32635 \\\\\Rightarrow x=2.32635*0.8=1.86108[/tex]
