What is the median of the following numbers: 100, 99, 81, 99, 86.
1 answer:
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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
Answer:
a.
Step-by-step explanation:
<em>hey there,</em>
<em />
< There are 8 marks between 1 in. and 2 in. and here we can see that the distance of the line goes only up to the first mark.
Imagine this like a pizza that's divided into 8, but you only took 1 slice. That means you took only of the pizza. It is the same here on the ruler.
It's not only 1/8 though because we also have to add in the first inch. After that inch, we also have 1/8 of an inch. So in. would be your final answer. >
<u>Hope this helped! Feel free to ask anything else.</u>