State how long does it take fred to complete

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Reference no: EM13200917

Fred takes his geocaching very seriously. He has found out that the time time it takes him to complete a cache from arriving at the parking place, finding the cache and returning to his car, can be modeled by a probability density function given by:

P(t)=ke-kt
Where t is the time in minutes that he takes to do a cache and k is a constant.

By integrating this function he can find the probability of finding a cache in a certain time. Fred knows that he completes 50% of his caches in 56 minutes and 13.8 seconds.

How long does it take Fred to complete 20% of his caches? This time is the Easting of the co-ordinates of the cache in minutes.

How long does it take Fred to complete 47.328% of his caches? This time is the minutes part of the Northing of the location of the cache. The Northing is given by 51 degrees and X minutes. X is the number you just found.

Reference no: EM13200917

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