Prove that parallelogram circumscribing a circle is a rhombus
1 answer:
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Answer:
Step-by-step explanation:
<h2><u>Lesson : Probability</u></h2><h2><u></u></h2>- We have a bag with 4 white chips and 6 black chips
- Question : What is the probability of randomly choosing a white chip, not replacing it, and then randomly choosing another white chip?
4 white and 6 black
4 + 6 = 10
Choosing the first white chip :
Since we took one out , now
3 white chips , 6 black chips
3 + 6 = 9
Choosing another white chip :
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Answer:
See the proof below.
Step-by-step explanation:
For this case we just need to apply properties of expected value. We know that the estimator is given by:
And we want to proof that
So we can begin with this:
And we can distribute the expected value into the temrs like this:
And we know that the expected value for the estimator of the variance s is , or in other way
so if we apply this property here we have:
And we know that so using this we can take common factor like this:
And then we see that the pooled variance is an unbiased estimator for the population variance when we have two population with the same variance.