Please advise the below question:
The UPay is an online payment system for university students in Hong Kong to perform small amount electronic payment within the campuses, e.g. the HK Poly canteens. The UPay has collected statistics on payment amount with students and found that it has the following distribution.
It was also found that the mean is HK$60 and the standard deviation is HK$5.
The UPay then decided to implement an āintrusion detectionā rule to detect potential fraud payment. The UPay decided to use 95.5% as the threshold to generate an alert message.
(a) What is the threshold of the payment amount that will trigger an alert? Show all your calcuations.