Answer:
The indicated probability is
P(5<x<8)=0.5328
Step-by-step explanation:
The question is incomplete.
Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) μ = 6; σ = 2.
The indicated probability is: P(5<x<8)
To calculate this probability we use the standarized normal distribution and the z-value for 5 and 8:
[tex]z=\frac{x-\mu}{\sigma}=\frac{5-6}{2}= -0.5\\\\z=\frac{8-6}{2}=1[/tex]
Then the probabilty is calculated as:
[tex]P(5<x<8)=P(-0.5<z<1)=P(z<1)-P(z<-0.5)\\\\P(5<x<8)=P(-0.5<z<1)=0.8413-0.3085=0.5328[/tex]
P(5<x<8)=0.5328
