The probability that the buyer waits more than 10 minutes is 0.0271
How to determine the probability that the buyer waits more than 10 minutes?
From the question, we have the following parameters that can be used in our computation:
Probability function:
fy(y)=0.2e^(-0.2y), y ≥ 0
The inequality expression y ≥ 0 means that
The value of y is atleast 0
The probability that the buyer waits more than 10 minutes means that
y = 10
So, we have the following representation
y = 10 in fy(y)=0.2e^(-0.2y)
Substitute the known values in the above equation, so, we have the following representation
fy(10)=0.2e^(-0.2 * 10)
Evaluate the exponents
fy(10)=0.2 * 0.13533528323
Evaluate the products
fy(10) = 0.0271
Hence, the probability is 0.0271
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