Question: 2. The PMF for a random variable X is given by: Give the CDF (write the answer in your uploaded work) (3pt) 3. Jimmy is

2. The PMF for a random variable X is given by: Give the CDF (write the answer in your uploaded work) (3pt) 3. Jimmy is an ethically challenged lawyer who 90% of the time does business under the name Saul instead of his real name. When working under his real name, he commits an ethical violation 30% of the time. When working as Saul, however, he commits an ethical violation a whopping 70% of the time. a. What percentage of the time does Jimmy commit an ethical violation? (4pt) b. Given that he is not committing an ethical violation, what is the probability he is working under his own name? (4pt) 4. Is the following a valid pdf? Show why or why not. f(x) = W) x E (4, 4) , 0 otherwise (3pt)

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