Question

The weights of broilers (commercially raised chickens) are approximately normally distributed with mean 1521 grams and standard deviation 166 grams. Use the TI-84 Plus calculator to answer the following. (a) What proportion of broilers weigh between 1185 and 1283 grams? (b) What is the probability that a randomly selected broiler weighs more than 1650 grams? (c) Is it unusual for a broiler to weigh more than 1710 grams? What is the probability that a broiler weighs over 1710 grams? Round the answers to at least four decimal places.

Answer 1

Press 2nd Vars -> normalcdf

Part a)

P ( 1185 < X < 1283 ) = 0.0543439

Part b)

P ( X > 1650 ) = 0.21855

Part c)

P ( X > 1710 ) = 0.127445

No, since the probability is greater than 5% i.e > 0.05, event is not unusual.