Thirty percent of consumers prefer to purchase electronics online. You randomly select 8 consumers. Find the probability that the number of consumers who prefer purchase electronics online is (a) exactly five, (b) more than five, and (c) at most five. (a) Find the probability that the number that prefer to purchase electronics online is exactly five. P(5) =] (Round to three decimal places as needed.)

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### Probability Problem: Consumer Behavior in Purchasing Electronics

#### Problem Statement:
Thirty percent of consumers prefer to purchase electronics online. You randomly select 8 consumers. Find the probability that the number of consumers who prefer to purchase electronics online is (a) exactly five, (b) more than five, and (c) at most five.

(a) Find the probability that the number that prefer to purchase electronics online is exactly five.

#### Solution:
\[ P(5) =  \]

**(Round to three decimal places as needed)**

#### Instructions:
- Enter your answer in the answer box and then click "Check Answer".

Below the problem statement, there are input fields and buttons for users to enter their answers and check them.

##### Notes:
- The problem utilizes the binomial probability formula to determine the likelihood of a specific number of successes (in this case, consumers preferring online purchases).
- Ensure that all answers are rounded to three decimal places for accuracy.
  
##### User Interface Elements:
- An answer input box for the user to enter their solution.
- A section indicating "2 parts remaining" implying that two more parts of the question need to be answered after this one.
- A "Clear All" button for users to reset their answers.
- A "Check Answer" button for users to submit their response and get immediate feedback. 

This problem is commonly found in statistics and probability courses, particularly in sections dealing with binomial distributions.
Transcribed Image Text:### Probability Problem: Consumer Behavior in Purchasing Electronics #### Problem Statement: Thirty percent of consumers prefer to purchase electronics online. You randomly select 8 consumers. Find the probability that the number of consumers who prefer to purchase electronics online is (a) exactly five, (b) more than five, and (c) at most five. (a) Find the probability that the number that prefer to purchase electronics online is exactly five. #### Solution: \[ P(5) = \] **(Round to three decimal places as needed)** #### Instructions: - Enter your answer in the answer box and then click "Check Answer". Below the problem statement, there are input fields and buttons for users to enter their answers and check them. ##### Notes: - The problem utilizes the binomial probability formula to determine the likelihood of a specific number of successes (in this case, consumers preferring online purchases). - Ensure that all answers are rounded to three decimal places for accuracy. ##### User Interface Elements: - An answer input box for the user to enter their solution. - A section indicating "2 parts remaining" implying that two more parts of the question need to be answered after this one. - A "Clear All" button for users to reset their answers. - A "Check Answer" button for users to submit their response and get immediate feedback. This problem is commonly found in statistics and probability courses, particularly in sections dealing with binomial distributions.
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