The probability that a student guesses the correct answer to a five​-choice multiple choice question is ​P(correct)equals0.2. How many correct answers should a student expect to guess on a test with 65 five​-choice multiple choice​ questions?

Question

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Part 1
A student should expect to guess
  
enter your response here correct answers.

Answer 1

To determine how many correct answers a student should expect to guess on a test with 65 five-choice multiple choice questions where the probability of guessing correctly is 0.2 (or 20%), you can use the formula for the expected value:

\[ E(X) = n \cdot p \]

where:

• \( E(X) \) is the expected number of correct answers,
• \( n \) is the total number of questions,
• \( p \) is the probability of guessing correctly.

In this case:

• \( n = 65 \)
• \( p = 0.2 \)

Now substitute the values into the formula:

\[ E(X) = 65 \cdot 0.2 = 13 \]

So, a student should expect to guess 13 correct answers on a test with 65 five-choice multiple-choice questions.