Exercises $$May $8,202419$:$59+08$ Exercise: Time until the first failure $1()$ Let the sequence $x_n,n=1,2,3,$dots, be a Bernoulli process with parameter $P(x_n=1)=p$ for all $n1.$ Let $U$ be the time when a value of $0$ is first observed: $U=$min$\{n$:$x_n=0\}$ Then, the random variable $U$ is: Geometric with parameter $p$ Geometric with parameter $1-p$ None of the above