SOLUTION: Please help me solve the problem.I will appreciate your solution. Question 1. The weight of a certain type of chicken, when ready for the market, follows a normal distribution

Algebra ->  Probability-and-statistics -> SOLUTION: Please help me solve the problem.I will appreciate your solution. Question 1. The weight of a certain type of chicken, when ready for the market, follows a normal distribution      Log On


   

Question 1075099: Please help me solve the problem.I will appreciate your solution.
Question 1.
The weight of a certain type of chicken, when ready for the market, follows a normal distribution with mean 1.0 kg and a standard deviation of 0.20 kg. Find the probability that a chicken weighs less than 1.50 kilogram.
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
mean is 1 kg.
standard deviation is .2 kg.

you want probability that the chicken weighs less than 1.5 kg.

z-score = (x-m)/s

x = 1.5 kg
m = 1 kg
s = .2 kg.

formula becomes z = (1.5 - 1) / .2

result is z = 2.5

probability of a z-score less than 2.5 is equal to .9938

in other words, the vast majority of the chickens will weight less than 1.5 kg if the mean is 1.0 kg and the standard deviation is .2 kg.

here's the results using z-scores and using raw scores.

the results are the same, as they should be.

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