1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
bazaltina [42]
3 years ago
10

For each given p, let Z have a binomial distribution with parameters p and N. Suppose that N is itself binomially distributed wi

th parameters q and M. For- mulate Z as a random sum and show that Z has a binomial distribution with parameters pq and M.
Mathematics
1 answer:
8090 [49]3 years ago
7 0

Explanation:

Lets interpret Z with M trials. First we have M trials, each trial can be a success or not. The number of success is called N. Each trial that is a success becomes a trial, and if it is a success it becomes a success for Z. Thus, in order for a trial to be successful, it needs first to be successful for the random variable N (and it is with probability q), and given that, it should be a success among the N trials of the original definition of Z (with probability p).

This gives us that each trial has probability pq of being successful. Note that this probability is pq independently of the results of the other trials, because the results of the trials of both N and the original definition of Z are independent. This shows us that Z is the total amount of success within M independent trials of an experiment with pq probability of success in each one. Therefore, Z has Binomial distribution with parameters pq and M.

You might be interested in
V=x/t<br> How do I solve for T
777dan777 [17]

When solving for a variable in an equation, get it separated from the others onto one side typically the left hand side and rest onto the opposite side usually the right hand side.

V = x / t

First, let us get the 't' variable out of denominator position and then it will be easier to work with.

V * t = (x / t) * t

Why did I multiply each side by 't' and not just the "x / t" expression? That is because every operation we do on one side, we must also do on the opposite side.

Okay, now we get the following equation.

V * t = x

We removed the 't' variable from denominator and in fact, it doesn't even exist anymore on the right hand side!

To complete this question, all we have to do is divide each side by 'V' and we are done!

(V * t) / V = x / V

Comes out to:

t = x / V

And there is your answer! Hope this helps with your adventure in learning Algebra!

6 0
3 years ago
Which term best describes the graph of y = x - 1
velikii [3]
A (it’s a slight increase)
if you have a TI-84 calculator you could solve this problem in seconds.
3 0
3 years ago
What is 3,600 seconds per hour times 24 hours per day times 365.25 days per year?
iren2701 [21]

Answer:31557600

Step-by-step explanation:

3600 x 24 x 365.25

Which equal 31557600

8 0
3 years ago
Read 2 more answers
The area of a rectangular soccer field is 5000 yd^2. The length of the field is twice the length. Find the dimensions of the fie
harina [27]
You can divide the field into two squares of area 2500 yd^2. The side of each of those will be √2500 = 50 yd.

The dimensions of the field are 50 yd by 100 yd.
4 0
3 years ago
Read 2 more answers
I NEED PART B AND C DONE I DID PART A, PLEASE HELP AND TELL ME WHAT PART YOU ARE SOLVING ALSO LOTS OF POINTS!!!
RideAnS [48]

Answer:

(8,10) is not a solution

Step-by-step explanation:

Cuz it’s not on both inequality shaded part but just one of them and also when we substitute one is true and the other one is false

2x + y _< 8

2(8) + 10 _< 8

18 + 10 _< 8

28 _< 8 false

X + y _> 4

8 + 10 -> 4

18 _> 4 true

7 0
3 years ago
Read 2 more answers
Other questions:
  • The number of a particular fish in thousands x years after 1972 can be modeled by f(x)=230(0.886)x. Estimate the year when the n
    13·1 answer
  • Choose the equation of the horizontal line that passes through the point (-2,-1)
    8·1 answer
  • A rectangular athletic field is three times as long as it is wide. If the perimeter of tje athletic field is 128 yards, what are
    11·1 answer
  • If the volume of sand is increasing at a constant rate, is the height increasing at a constant rate? Explain.
    6·1 answer
  • -9=2n Can you please help me
    8·1 answer
  • Which graph represents the solution of the inequality -3x + 1 less than 10
    7·1 answer
  • Please help, I think its D but I know that things are usually the opposite of what you think when doing these types of problems.
    10·1 answer
  • A store is having a sale on walnuts and chocolate chips. For 3 pounds of walnuts and 5 pounds of chocolate chips, the total cost
    13·1 answer
  • Given the function f(x)=-0.5|2x + 2[ + 1, for what
    9·2 answers
  • “The difference of -5 and -11.”
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!