1. (a) 3/4 (b) no (c) 3/4 (d) 0.535
2. (a) (3/500000000)(x-1000)(2000-x) for 1000 ≤ x ≤ 2000, 0 otherwise (b) 1500 (c) 50000 (d) 187.5
3. (a) 100, 104 (b) 170, 70 (c) 50, 94
4. (a) exponential, 3exp(-3x) for x > 0 and 0 otherwise, 1/3, 1/3 (b) gamma, (3^7/6!)*x^6*exp(-3x) for x > 0 and 0 otherwise, 7/3, √7/3 (c) normal, 7/3, 1/(3√7)