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suppose an exam consisted of 10 multiple choice problems, each with five possible responses (a-e), only 1 of which is correct. if a student randomly guesses the answers to each question then what is the probability that a student guesses the correct answer to exactly 7 questions? additionally, what is the probability that a student passes the exam with a score of 70% or higher? (round to 5 decimal places)



Answer :

7 to 10  is the probability that a student passes the exam with a score of 70% or higher.

How does probability explain work?

  • Probability measures how probable something is to occur.
  • We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out.
  • Statistics is the study of events subject to probability.

nCr is the binomial coefficient of n things taken r at a time.

7 = ₁₀C₇ * (.2)⁷ * (.8)³

For score 70 = ∑₁₀Cr * (.8)¹⁰ ⁻ r

                     r  = 7 to 10

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