Suppose that each student has probability p of correctly answering a question chosen at random from...
Suppose that each student has probability p of correctly answering a question chosen at random from a universe of possible questions. (A strong student has a higher p than a weak student.) The correctness of answers to different questions are independent. Jodi is a good student for whom p = 0.82.
Use 4 decimal places.
(a) Use the normal approximation to find the probability that Jodi
scores 77% or lower on a 100-question test.
(b) If the test contains 250 questions, what is the probability
that Jodi will score 77% or lower?
(c) How many questions must the test contain in order to reduce the
standard deviation of Jodi's proportion of correct answers to half
its value for a 100-item test?
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Here is a simple probability model for multiple-choice tests. Suppose that each student has probability p of correctly answering a question chosen at random from a universe of possible questions. (A strong student has a higher p than a weak student.) The correctness of answers to different questions are independent. Jodi is a good student for whom p = 0.78. (a) Use the Normal approximation to find the probability that Jodi scores 72% or lower on a 100-question test. (Round...
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a question chosen at random from a universe strong student has a higher p than a possible questions Herd d T upPose that s probabilityP 64 (a) Use the Normal approximation to find the probability that e . cores 79% or lower on a 100-question test. (Round your answer to four decimal places.) (b) If the test contains 250 questions, what is the probability that Jodi will score 79 % or lower? (Use the normal approximation. Round your answer to...
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