Fraud detection has become an indispensable tool for banks and credit card companies to combat fraudulent credit card transactions. A fraud

detection firm has detected minor fraudulent activities in $1\mathrm{.}61\%$ of transactions, and serious fraudulent activities in $0\mathrm{.}83\%$ of transactions. Assume

that fraudulent transactions remain stable.

a$.$ What is the probability that there are minor fraudulent activities in fewer than $2$ out of $100$ transactions?

Note: Do not round intermediate calculations. Round your final answer to $4$ decimal places.

Probability

b$.$ What is the probability that there are serious fraudulent activities in fewer than $2$ out of $100$ transactions?

Note: Do not round intermediate calculations. Round your final answer to $4$ decimal places.

Probability