The weights of broilers (commercially raised chickens) are approximately normally distributed with mean 1387 grams and standard deviation 161 grams. What is the probability that a randomly selected broiler weighs more than 1,425 grams?

Answer:  0.3936Step-by-step explanation:Given: Mean : [tex]\mu =1387 \text{ grams}[/tex]Standard deviation : [tex]\sigma = 161 \text{ grams}[/tex]The formula to calculate z is given by :-[tex]z=\dfrac{x-\mu}{\sigma}[/tex]For x= 1,425 grams[tex]z=\dfrac{1425-1387}{161}=0.23602484472\approx0.27[/tex]The P Value =[tex]P(X>1425)=P(z>0.27)=1-0.6064198=0.3935802\approx0.3936[/tex]Hence, the  probability that a randomly selected broiler weighs more than 1,425 grams =0.3936