Probability (Normal Distribution etc.)

  • #1
A factory makes milk that is sold as 2 L bottles. The amount of milk per bottle obeys a normal distribution with mean 2.02 and standard deviation 0.09. What proportion of bottles have less than 2 L in them?

Now the exact interpretation etc. of the normal distribution equation is beyond my course at this point, but it, and the values for it, are tabulated in my set of math tables. But I am struggling to understand how to apply it.
Could someone run thru its application in this question?

Thank you very much!
  • #2
proportion is synonymous with probability. The question is asking you to find the probability of finding a bottle with less than 2L of milk in it, i.e. P(X<2).

Does that help you get started?
  • #3
Do you know how to change from a normal distribution with mean [itex]\mu[/itex] and standard deviation [itex]\sigma[/itex] to the "standard normal distribution" (mean 0, standard deviation 1) which is what the tables give?

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