• Support PF! Buy your school textbooks, materials and every day products Here!

Binomial Distribution Question

  • #1

Homework Statement



The question provides a table and asks:

Number of Attempts Fraction persisting in fibrillation
0 1.00
1 0.37
2 0.15
3 0.07
4 0.02

"Assume that the probability p of defibrillation on one attempt is independent of other attempts. Obtain an equation for the probability that the patient remains in fibrillation after N attempts. Compare it to the data and estimate p."


Homework Equations



Binomial Distribution

The Attempt at a Solution



I used the binomial distribution for my equation to estimate the probability that the patient remains in fibrillation. I'm not concerned about the "number of successes" in each attempt, so I believe this problem is similar to asking a coin toss question. For example, the probability that a coin will return heads after 1 attempt is 0.50. After 2 attempts, 0.5*0.5, etc.

Likewise, there are two possibilities: fibrillation and defibrillation. Instead of the coin example, the probability that the patient remains in fibrillation is 0.37. After two attempts, 0.37*0.37. After 3 attempts, 0.37*0.37*0.37, etc. It models the data rather well.

So then to estimate "p", the probability of defibrillation in each, p+q = 1 ---> p= 1-q

Does this sound reasonable?

Homework Statement





Homework Equations





The Attempt at a Solution

 

Answers and Replies

  • #2
Andrew Mason
Science Advisor
Homework Helper
7,583
346
Obtain an equation for the probability that the patient remains in fibrillation after N attempts. Compare it to the data and estimate p."

The Attempt at a Solution



I used the binomial distribution for my equation to estimate the probability that the patient remains in fibrillation. I'm not concerned about the "number of successes" in each attempt, so I believe this problem is similar to asking a coin toss question. For example, the probability that a coin will return heads after 1 attempt is 0.50. After 2 attempts, 0.5*0.5, etc.

Likewise, there are two possibilities: fibrillation and defibrillation. Instead of the coin example, the probability that the patient remains in fibrillation is 0.37. After two attempts, 0.37*0.37. After 3 attempts, 0.37*0.37*0.37, etc. It models the data rather well.

So then to estimate "p", the probability of defibrillation in each, p+q = 1 ---> p= 1-q

Does this sound reasonable?
The question asks for an equation. What is your equation for the probability that the patient remains in fibrillation after N attempts.

AM
 

Related Threads on Binomial Distribution Question

  • Last Post
Replies
2
Views
751
Replies
7
Views
816
  • Last Post
Replies
2
Views
1K
Replies
3
Views
2K
Replies
1
Views
8K
Replies
2
Views
1K
  • Last Post
Replies
6
Views
4K
  • Last Post
Replies
0
Views
2K
  • Last Post
Replies
3
Views
2K
  • Last Post
Replies
5
Views
658
Top