probability

Category: Mathematics

Ford Motor Company is confident that its 2016 F-150 truck gets 26 miles per gallon on the highway. Before they begin to advertise this fact they want to be 98% certain of their claim. To accomplish this, they take a random sample of 250 trucks and measure their gas mileage. The average was 24.91 mpg with a population standard deviation of 4.77 mpg. Calculate the Upper and Lower Confidence Interval values AND can Ford make the claim that their trucks will get 26 mpg on the highway

 

The time required to complete a project is normally distributed with a mean of 110 weeks and a standard deviation of 13.65 weeks. The construction company must pay a penalty if the project is not finished by the due date in the contract. If a construction company bidding on this contract wishes to be 90 percent sure of finishing by the due date, what due date (project week #) should be negotiated?

 

A local commuter bus service advertises that buses run every eighteen minutes along a certain route. What is the probability of a bus picking up the passengers at a given bus stop in less than or equal to 15 minutes following their arrival at the bus stop? (Hint: Use the exponential distribution method to solve this question)

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