1.9 Problems 1. 5\"!" For each of the following experiments, describe the sample space. (i) Toss a coin ve times. (ii) Count sh in a pond. (iii) Measure time to failure of a memory chip. (iv) Observe the number of defectives in a shipment. (v) Observe the proportions of defectives in a shipment. Prove DeMorgan's laws for countable unions and intersections. Prove that union and intersection are commutative, associative, and distributive