Question

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 1

Answer: 0.3936

Explanation:

Given: Mean :
`\mu =1387 \text{ grams}`

Standard deviation :
`\sigma = 161 \text{ grams}`

The formula to calculate z is given by :-

`z=(x-\mu)/(\sigma)`

For x= 1,425 grams

`z=(1425-1387)/(161)=0.23602484472\approx0.27`

The P Value =
`P(X>1425)=P(z>0.27)=1-0.6064198=0.3935802\approx0.3936`

Hence, the probability that a randomly selected broiler weighs more than 1,425 grams =0.3936