Consider the recurrenceT(n).T(n)={cifn≤4T(⌊pn⌋)+ difn>4a)Use the recursion tree or repeated substitution method to come up with a good guess for a boundf(n) on the recurrenceT(n).b) State and prove by induction two theorems showing(n)∈Θ(f(n))

Amajor grocery store chain is trying to cut down on waste. currently, they get peaches from two different distributors, whole fruits and green grocer. out of a two large shipments, the manager randomly selects items from both suppliers and counts the number of items that are not sell-able due to bruising, disease or other problems. she then makes a confidence interval. is there a significant difference in the quality of the peaches between the two distributors? 95% ci for pw-pg: (0.064, 0.156)