A study of parallel interchange ramps reveals that many drivers do not use the e

Question

A study of parallel interchange ramps  reveals that many drivers do not use the entire length of parallel lanes for acceleration, but seek as soon as possible an appropriate gap in the major stream of traffic for merging. At the parallel lane of  X Boulevard and Interstate 4, the probability that a driver uses less than half the lane length before merging is 0.54 (or 54%). Suppose we want to monitor the merging patterns of a random sample of 330 drivers at the parallel lane of Lake Mary Boulevard and Interstate 4. What is the approximate probability that 200 of those drivers or less will use less than half the parallel lane length before merging? [Hint: The number of drivers merging onto Interstate 4 is a binomial random variable]

Explanation / Answer

Let X be binomial, with n=332, p=.54, q=.46 ans= P(x

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