Probability of Supporting Second International Airport: Binomial Distribution?

  • Thread starter Thread starter rclakmal
  • Start date Start date
  • Tags Tags
    Distribution
Click For Summary
SUMMARY

The discussion centers on calculating the probability of support for a second International Airport using binomial distribution principles. Given a sample size of 15 adults (n=15) and a support probability of 40% (p=0.4), the correct approach involves using the binomial probability formula. The user correctly identifies the need to calculate the cumulative probability for 0 to 6 supporters, expressed as SIGMA(r=0 to 6) 15Cr * 0.4^r * 0.6^(15-r). Confirmation of this method was provided by another forum member.

PREREQUISITES
  • Understanding of binomial distribution concepts
  • Familiarity with probability notation and calculations
  • Knowledge of combinatorial mathematics (nCr)
  • Basic statistical analysis skills
NEXT STEPS
  • Study the binomial probability formula in detail
  • Learn how to calculate cumulative probabilities in binomial distributions
  • Explore the implications of sample size on probability outcomes
  • Investigate real-world applications of binomial distribution in decision-making
USEFUL FOR

Students studying statistics, data analysts, and anyone interested in applying binomial distribution to real-world scenarios, particularly in decision-making processes related to public support and opinion polling.

rclakmal
Messages
76
Reaction score
0

Homework Statement




It is known that 40% of the adults support the idea of constructing a second International Airport for the country .A sample of 15 adults was questioned regarding this issue .
what is the probability of that no more that 6 in the sample support the idea ?




The Attempt at a Solution



I just want to know is this a binomial distribution where
n=15 and
p=0.4;

if so the answer should be
SIGMA( r goes 0 to 6 )15Cr * 0.4^(r) * 0.6^(r)

am i correct ??/if I'm wrong please help me out !Or if I'm' write confirm it thanks a lot!
 
Physics news on Phys.org
Hi rclakmal! :smile:

(try using the X2 tag just above the Reply box :wink:)

Yes, that's fine. :smile:
 
thanks Tiny TIm !:
 

Similar threads

Replies
7
Views
4K
Replies
4
Views
2K
Replies
5
Views
3K
Replies
29
Views
3K
Replies
4
Views
2K
  • · Replies 7 ·
Replies
7
Views
6K
  • · Replies 1 ·
Replies
1
Views
2K
Replies
7
Views
3K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 10 ·
Replies
10
Views
2K