Probability of Supporting Second International Airport: Binomial Distribution?

• rclakmal
In summary, the conversation discusses the probability of a sample of 15 adults supporting the idea of constructing a second International Airport, given that 40% of adults support the idea. The question is whether this situation follows a binomial distribution, with n=15 and p=0.4. The answer provided is that this is correct, and the probability can be calculated using the formula SIGMA( r goes 0 to 6 )15Cr * 0.4^(r) * 0.6^(r).

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!

Hi rclakmal!

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

Yes, that's fine.

thanks Tiny TIm !:

1. What is a probability distribution?

A probability distribution is a function or mathematical model that describes the likelihood of an event occurring based on all possible outcomes. It assigns a probability to each possible outcome, with the sum of all probabilities equaling 1.

2. What are the different types of probability distributions?

There are several types of probability distributions, including the normal distribution, binomial distribution, Poisson distribution, and exponential distribution. The type of distribution used depends on the characteristics of the data and the variables being analyzed.

3. How is a probability distribution represented and visualized?

A probability distribution can be represented using a graph or a table. Graphs can take the form of a histogram, bar chart, or line graph, while tables can display the probabilities for each outcome. Visualizing a probability distribution can help in understanding the shape and characteristics of the distribution.

4. What is the role of probability distributions in statistical analysis?

Probability distributions play a crucial role in statistical analysis as they help in making predictions and drawing conclusions about a population based on a sample. They also provide a framework for calculating probabilities and determining the likelihood of certain outcomes.

5. How do you choose the appropriate probability distribution for a given dataset?

Choosing the appropriate probability distribution depends on the characteristics of the data, such as the type of variables and the shape of the distribution. It is important to understand the properties of different distributions and to assess which one best fits the data being analyzed.