Question

In a statistics class, Maya takes a multiple-choice quiz. There are 10 questions. Each question has...

In a statistics class, Maya takes a multiple-choice quiz. There are 10 questions. Each question has five possible answers. Maya will pass the test if she studies so that she has a 75% chance of answering each question correctly. Let x be the number of of correct answers. (Round probabilities to 4 decimal places)

a. Define the Random Variable, x ~

b. What is the PDF formula?

c. Find the probability that Maya answers exactly 4 of the questions correctly?

d. Find the probability that Maya answers at least 7 of the questions correctly?

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

Solution: a. Define the Random Variable,  x ~

Answer: The random variable here is the number of answers Maya get's correct.

b. What is the PDF formula?

Answer: The PDF formula is:

c. Find the probability that Maya answers exactly 4 of the questions correctly?

Answer:

  

Therefore the probability that Maya answers exactly 4 of the questions correctly is

d. Find the probability that Maya answers at least 7 of the questions correctly?

Answer: We have to find here:

  

  

  

Therefore the probability that Maya answers at least 7 of the questions correctly is .

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