Probability that the student will pass the test
A test consists of 10 true/false questions. To pass the test a student must answer at least 7 questions correctly. If a student guesses on each question, what is the probability that the student will pass the test?
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At the 0.05 level of significance, is there sufficient evidence to conclude that a difference exists between the proportions of students who were absent due to contracting the flu at the schools?
Let E1 denote the event that a structural component fails during a test and E2 denote the event that the component shows some strain, but does not fail. Given P(E1) = 0.39 and P(E2) = 0.45. Round your answers to two decimal places (e.g. 98.76). Wh
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Suppose that Y is a binomial random variable based on n trials and success probability p. Use the conjugate beta prior with parameters a and b to derive the posterior distribution of p|y.
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Suppose an experiment consists of tossing a fair coin until a three heads occur. What is the probability that the experiment ends after exactly six flips of the coin with a head on the fifth toss as well as on the sixth?
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