Question: A student takes a true-false test that has 10 questions and guesses randomly at each answer, let X be the number of questions answered correctly

  1. A student takes a true-false test that has 10 questions and guesses randomly at each answer, let X be the number of questions answered correctly find P(4), and find P(fewer than 3). Now to pass the test the student must answer 7 questions correctly. Would it be unusual for the students to pass the test?
  2. N= 50, p=0.3, find P(2 and fewer 2),
  3. N=30, p=0.9, find P(5)
  4. please show work

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