Assume a binary string of length equals to $9$ bits. An even parity bit is added to the string before the

$10-$bits string is transmitted. Assume the bit$-$error$-$rate BER is equal to $0\mathrm{.}01.$

a$)(4$ points$)$ Compute the probability that the received string is NOT correct.

b$)(4$ points$)$ Compute the probability that the received string has undetectable error.

c$)(2$ points$)$ Compute the probability that all $10$ bits of the string are in error.