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).

Which of the following describes the symmetry of the graph of y = x3?

The box plots show the distributions of the numbers of words per line in an essay printed in two different fonts.which measure of center would be best to compare the data sets? the median is the best measure because both distributions are left-skewed.the mean is the best measure because both distributions are left-skewed.the median is the best measure because both distributions are symmetric.the mean is the best measure because both distributions are symmetric

Ahmed plans to add a rectangular sunroom to his house. the sunroom will have a length of 14 feet and a width of 10 feet, and the construction will cost $40 per square foot. how much more would the sunroom cost if it’s width were increased to 12 feet?