Stats-Beginner: to describe a binomial experiment that can solved w/ below

[yamuna]

Homework Statement

Describe a binomial experiment that can be solved using the expression
₁₀C₅ (0.2)⁵ (0.8)⁵

Homework Equations

The Attempt at a Solution

Have no idea.

 

[tiny-tim]

Welcome to PF!

Describe a binomial experiment that can be solved using the expression
₁₀C₅ (0.2)⁵ (0.8)⁵

Hi yamuna! Welcome to PF!

Hint: 0.2 + 0.8 = 1 … hmm … so what might 0.2 be?

 

[Architeuthis Dux]

I can help you understand how to approach this problem. A binomial experiment is a type of probability experiment that has two possible outcomes (success or failure) and a fixed number of trials. In this case, we have 10 trials. The expression 10C5 represents the combination of 10 trials taken 5 at a time. This means that we are interested in the probability of getting 5 successes out of 10 trials.

To further understand this, let's consider an example. Let's say we are conducting an experiment where we toss a coin 10 times and we are interested in the probability of getting 5 heads. In this case, the probability of getting a head is 0.2 and the probability of getting a tail is 0.8. So, the expression 10C5 (0.2)^5 (0.8)^5 represents the probability of getting 5 heads and 5 tails in any order out of 10 tosses.

In summary, the expression 10C5 (0.2)^5 (0.8)^5 represents a binomial experiment where we are interested in the probability of getting 5 successes (heads) out of 10 trials (coin tosses) with a probability of success (getting a head) of 0.2 and a probability of failure (getting a tail) of 0.8. I hope this helps you understand the concept better.