Answer:
The probability that a randomly chosen part has diameter of 3.5 inches or more is 0.9525
Step-by-step explanation:
[tex]Mean = \mu = 3.25 inches[/tex]
Standard deviation = [tex]\sigma = 0.15 inches[/tex]
We are supposed to determine the probability that a randomly chosen part has diameter of 3.5 inches or more
[tex]P(Z \geq 3.5)=1-P(z<\frac{x-\mu}{\sigma})\\P(Z \geq 3.5)=1-P(z<\frac{3.25-3.5}{0.15})\\P(Z \geq 3.5)=1-P(z<-1.67)[/tex]
Refer the z table for p value
[tex]P(Z \geq 3.5)=1-0.0475\\P(Z \geq 3.5)=0.9525[/tex]
Hence the probability that a randomly chosen part has diameter of 3.5 inches or more is 0.9525
