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).

Evaluate 4 a for a = 5 2/3 . express your answer in simplest form.

Gail is making costumes for a school play. each rabbit costume needs one and one half yards of white fur fabric, a yard of blue striped fabric, and a quarter of a yard of pink felt for the ears. g? ail needs to make eight rabbit man yards will she need, for the white fur fabric, blue striped fabric, and pink felt?

[tex]5 \times1 \frac{12}{13} [/tex] me