Volume=125 cu ft Length=5 ft Width=?___ Height=5 ft
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The area of a circle is represented by the equation:
We know that the diameter is two times the radius:
So if we know that the diameter of the circle is 24m, we can divide this by two in order to get the radius:
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So then we can plug this radius in to the equation for the area of a circle:
We are told to use 3.14 as pi, and not pi itself, so let's plug in 3.14 for pi:
Now we know that the area of this circle is 452.16 square meters.
Answer:
See the proof below.
Step-by-step explanation:
Assuming this complete question: "For each given p, let Z have a binomial distribution with parameters p and N. Suppose that N is itself binomially distributed with parameters q and M. Formulate Z as a random sum and show that Z has a binomial distribution with parameters pq and M."
Solution to the problem
For this case we can assume that we have N independent variables with the following distribution:
bernoulli on this case with probability of success p, and all the N variables are independent distributed. We can define the random variable Z like this:
From the info given we know that
We need to proof that by the definition of binomial random variable then we need to show that:
The deduction is based on the definition of independent random variables, we can do this:
And for the variance of Z we can do this:
And if we take common factor we got:
And as we can see then we can conclude that