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Math · Statistics And Probability
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3. (14%) A recent survey in Montana revealed that 60% of the vehicles traveling on highways, where speed limits are posted at 70 miles per hour, were exceeding the limit. Suppose you randomly record the speeds of ten vehicles traveling on US 131 where the speed limit is 70 miles per hour. Let X denote the number of vehicles that were exceeding the limit. a. What is the distribution of X? b. Find P(X 10). c. Find P(4<X< 9). d. Find P(X 2). e. Find P(3 sXs6). f. Find the expected number of vehicles that are traveling on Montana highways and exceeding the speed limit. Find the standard deviation of number of vehicles that are traveling on Montana highways and exceeding the speed limit. g.
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