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

$1\mathrm{.}55\%$ of transactions, and serious fraudulent activities in $0\mathrm{.}58\%$ 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.

Answer is complete but not entirely correct.

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.

Answer is complete but not entirely correct.