4. Let X_1, , X_64 be i.i.d. random variables with E(X_i) = 5 and Var(X_i) = 4. Using the Central Limit Theorem, compute the approximation of P(Σ_i=1^64 X_i &gt; 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 \( X_1, \dots, X_{64} \) be i.i.d. random variables with \( E(X_i) = 5 \) and \( Var(X_i) = 4 \). Using the Central Limit Theorem, compute the approximation of \( P(\sum_{i=1}^{64} X_i > 346.32) \). (10%)

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