Answer:
The point of intersection is at (2,3)
Step-by-step explanation:
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:
Step-by-step explanation:
t7lu78o78
We can do this by converting the equation to vertex form:-
h = -16t^2 + 36t + 10
= -16(t^2 - 2.25t) + 10
= -16 [ (t - 1.125)^2 - (1.125)^2] + 10
= -16(t - 1.125)^2 + 20.25 + 10
= -16(t - 1.125)^2 + 30.25
So the answer is 1.13s and 30.25 ft.
= (