Question: Two students are taking a 4-question exam. The first student has a 70% chance of answering each question correctly, with each question being independent. Let

Two students are taking a 4-question exam.

  • The first student has a 70% chance of answering each question correctly, with each question being independent. Let A denote the total number of questions (between 0 and 4) that the first student answers correctly.
  • The second student has an 80% chance of answering each question correctly, with each question being independent. Let B denote the total number of questions (between 0 and 4) that the second student answers correctly.
  • Suppose A and B are independent random variables.

The question is to compute E[A|A > B] .Derive the answer analytically, using a calculator?

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