in the popular shopping centre ,the waiting time for an ABSA ATM machine is found to be uniformly disturbed between 1 and 5 minutes. what is the probability of waiting between 2 and 5 minutes to use the ATM
Answers
Given : in the popular shopping centre ,the waiting time for an ABSA ATM machine is found to be uniformly disturbed between 1 and 5 minutes.
To Find : the probability of waiting between 2 and 5 minutes to use the ATM
Solution:
The standard deviation is approximately equal to the range of the data divided by 4
Range = 5 - 1 = 4
SD = 4/1 = 1
Mean = ( 1 + 5)/2 = 3
Mean = 3
SD = 1
z score = (value - mean ) /SD
Z score for 2 = -1 => 0.1587
Z score for 5 = 2 => 0.9772
=> probability of waiting between 2 and 5 minutes to use the ATM
= 0.9772 - 0.1587
= 0.8185
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