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Question: Suppose that only 60% of all drivers wear seat belts at all times. In a random sample of 500 drivers let X denote the number of drivers who wear seat belt at all times.

(a) State the exact distribution of X and use R to find P(270 ≤ X ≤ 320).

(b) Use the DeMoivre-Laplace Theorem, with and without continuity correction, to approximate P(270 ≤ X ≤ 320). Comment on the quality of the approximation provided by the two methods.

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Statistics and Probability, Statistics

Category:- Statistics and Probability
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