phillipedwardpo6230 phillipedwardpo6230
  • 13-07-2020
  • Mathematics
contestada

For the binomial distribution with the given values for n and p, state whether or not it is suitable to use the normal distribution as an approximation. n = 24 and p = 0.6.

Respuesta :

joaobezerra joaobezerra
  • 15-07-2020

Answer:

Since both np > 5 and np(1-p)>5, it is  suitable to use the normal distribution as an approximation.

Step-by-step explanation:

When the normal approximation is suitable?

If np > 5 and np(1-p)>5

In this question:

[tex]n = 24, p = 0.6[/tex]

So

[tex]np = 24*0.6 = 14.4[/tex]

And

[tex]np(1-p) = 24*0.6*0.4 = 5.76[/tex]

Since both np > 5 and np(1-p)>5, it is  suitable to use the normal distribution as an approximation.

Answer Link

Otras preguntas

What is the difference between dividing 16 by 2 and finding the square root of 16 ?
Why do regular users increase the amount of drugs they use?
For an English Paper, What are the pros and cons of homeschooling compared to public school?
Tia wants to hang a big letter T on the door of her bedroom. She plans to cut the T from cardboard and then paint it red. The dimensions of the T are shown in t
What were the farms the Spanish operated in the Americas called?
Both Iraq under Saddam Hussein and Syria under Bashar al-Assad shared which difficulty?
One eidtion of alices adventures in wonderland has 352 pages. how many 4's were used in the page numbers?
Multiply or divide. Show your work. 1. 5x+10/x+2*2x/4x-10
An organic molecule will always contain _____.
If 3x² -6=y for all real numbers x, then x² - 2 =