A running shoe company wants to sponsor the fastest 3% of runners. You know that in this race, the running times are normally distributed with a mean of 6.8 minutes and a standard deviation of 0.37 minutes. How fast would you need to run to be sponsored by the company? Looking for a Similar […]
In an agricultural study, the average amount of corn yield is normally distributed with a mean of 189.3 bushels of corn per acre, with a standard deviation of 23.5 bushels of corn. If a study included 1200 acres, about how many would be expected to yield more than 180 bushels of corn per acre? […]
A tire company measures the tread on newly-produced tires and finds that they are normally distributed with a mean depth of 0.99mm and a standard deviation of 0.35mm. Find the probability that a randomly selected tire will have a depth less than 0.31mm. Would this outcome warrant a refund (meaning that it would be unusual)? […]
In a health club, research shows that on average, patrons spend an average of 42.5 minutes on the treadmill, with a standard deviation of 4.8 minutes. It is assumed that this is a normally distributed variable. Find the probability that randomly selected individual would spent between 30 and 40 minutes on the treadmill. Looking […]
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