You toss a fair coin 1000 times and take a step forward if the coin lands head and a step backward if it lands tail. Upper bound the probability that you end up ≥100 steps from your starting point (in either direction) using Chernoff bound (after the final simplification as in the slides).

Acylinder with a base diameter of x units has a volume of jxcubic units which statements about the cylinder are true? check all that apply. the radius of the cylinder is 2 x units. the radius of the cylinder is 2x units. the area of the cylinder's base is 200 square units. the area of the cylinder's base is a square units. the height of the cylinder is 2x units. the height of the cylinder is 4x units. mark this and return save and exit next submit