The probability that the buyer waits more than 10 minutes is 0.0271
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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