Probability with mean and standard deviation.
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Probability with mean and standard deviation.

[From: ] [author: ] [Date: 12-04-25] [Hit: ]
You buy 3 dozen eggs with out checking them.A) How many broken eggs do you expects to get?B) Whats the standard deviation?C) What assumption did you have to make about the eggs in order to answer this question? That the egg cartoons are ........
A grocery supplier believes that in a dozen eggs, the mean number of broken eggs is .8 with a standard deviation of .5 eggs. You buy 3 dozen eggs with out checking them.

A) How many broken eggs do you expects to get?
B) What's the standard deviation?
C) What assumption did you have to make about the eggs in order to answer this question?
That the egg cartoons are ... Independent, continuously random variable or discrete random variable?


It would be appreciated if you could explain this to me and not just give me an answers and let me know if any of this is possible on a TI-84 Plus Calculator?

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If you even had begun to understand this, you wouldn't be asking if a calculator could "do it".
First, I have to assume that you know what the 'mean' is.
If you understood the concept of standard deviation you would not be asking this question.
(BTW, what is "out checking"? You said that you bought the eggs with 'out checking' you didn't mean 'without', did you? Also what do cartoons have to do with eggs? - a new SpongeBob sidekick?
The term standard deviation has two subtly different meanings: as a measure of population variance and as a measure of sample variance. Some people differentiate between the two concepts, some do not. There is a famous Theorem that proves that regardless of the population distribution, averaging the values of randomly chosen multiple samples will result in a 'normal' distribution. This is amazing!
Lets say one part of the population came from a square shaped distribution and the other from a semi-circular shaped one. Picking random pairs of values, taking their mean and plotting the distribution of those means will give you (if you do enough) a normal distribution. I am hoping you know what a 'normal' distribution is? Gaussian, Boltzmann, Bell Shaped...
Further it also is known that for a normal distribution, two numbers completely describe it. So, you could have a population of 7 billion values and if they are normally distributed just two numbers contain the same information as the whole set of 7 billion. Wow. And OF COURSE you know what those two numbers are, right? Mean and standard deviation (s.d.).
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