Mathematics: 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?

The weights of broilers (commercially raised chickens)

aaronjcerrato

09.03.2022

0.3936

Step-by-step explanation:

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

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

The formula to calculate z is given by :-

$z=\dfrac{x-\mu}{\sigma}$

For x= 1,425 grams

$z=\dfrac{1425-1387}{161}=0.23602484472\approx0.27$

The P Value = $P(X1425)=P(z0.27)=1-0.6064198=0.3935802\approx0.3936$

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

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