#3 continued The graph is as foliows: 0.25 m = 0.25 fx) 0.15 1- 0.05 0 0 2 4 6 8
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#3 continued The graph is as foliows: 0.25 m = 0.25 fx) 0.15 1- 0.05 0 0 2 4 6 8 10 12 14 16 18 20 Notice the graph is a declining curve, when x = 0. tx,-0.25e"s": (0.25)( 1) 0.25-m. The maximum value on the y-axis is m. 5) Using the information above, find the probability that a clerk spends four to five minutes with a randomly selected customer e. f Half of all customers are finished within how long? (Find the 50 percentile) g Which is larger, the mean or the median? (L 4. On average, a pair of running shoes is expected to last 18 months if used every day. The leng of time running shoes last is exponentially distributed a. Find m b. Find the standard deviation, o,Explanation / Answer
Here' the f) part as asked by you. Write back in case you don't understand any part of it:
The area under curve should sum to 1 at lets say x
So, cumulative probabiltty till x is lets say .5
So, P(X<x) = .5
1- e^(-.25*x) = .5
.5 = e^(-.25x)
In(.5) = -.25x
x = 2.773
Half of the customers are finished within 2.773 minutes
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