101年 - 101 國立嘉義大學_碩士班招生考試試題_行銷與運籌學系：統計學#146336

(1) Calculate and interpret the value of b0 in this problem. (7%)

(2) Calculate and interpret the value of b1 in this problem. (7%)

(3) Calculate and interpret the value of r2 for this data set. (7%)

(4) What can you say about the final exam score for a student with hours of study equal to 50? (4%)

(1) What percentage of time during the year will there be more than 4 ships present? (10%)

(2) Suppose that the cost of an idle berth is 50,000NT/day. What would be the annual costs of idle berth time at a port that has seven berths? (15%)

(1) Find the value of . (5%)

(2)Find the marginal probability density functions of \( f_X(x) \) and \( f_Y(y) \). (10%)

(3) Find the conditional probability density functions of \( f(x|Y=2) \) and \( f(y|X=1) \). (10%)

(4) Are X and Y statistically independent? (5%)

(1) How many different ways can Simpson arrange these six cards in a row so that the king and first knave are not next to each other? (10%)

(2) Suppose the six cards are randomly arranged in a row. What is the probability that the king and the joker are next to each other? (10%)