4. Let X1, , X64 be i.i.d. random variables with E(Xi) = 5 and Var(Xi) = 4. Using the Central Limit Theorem, compute the approximation of P(Σi=1^64 Xi > 346.32). (10%)

II. 1. The recruitment channels for a company are as follows: based on past experience, 50% of applicants learned of the openings through job banks, 10% through social media ads, 30% through employee referrals, and 10% through campus recruiting. The one-year turnover rates (the probability of an employee resigning within a year) are as follows: 10% for those from job banks, 20% for those from social media ads, 5% for those from employee referrals, and 30% for those from campus recruiting. If an employee is still with the company after one year, what is the probability that he (she) originally learned about the recruitment information through a job bank? (7%)

4. Let $X1, \ldots, X{64}$ be i.i.d. random variables with $\operatorname{E}(Xi) = 5$ and $\operatorname{Var}(Xi) = 4$. Using the Central Limit Theorem, compute the approximation of $P(\sum{i=1}^{64} Xi > 346.32)$. (10%)

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