c$)[5]$ Let us consider the following toy example database $($Table $2)$ containing patients' name, age,Theory Homework Assignment $1$

Due Date: $4$:$30$ PM$,$ February $16,2024$

c$)[5]$ Let us consider the following toy example database $($Table $2)$ containing patients' name, age,

hemoglobin and random sugar information. We consider an interactive database query setting

in which the sanitizer accepts queries and computes $lon-$differentially private answers using the

Laplace mechanism where $lon=0\mathrm{.}7.$ Compute an $lon-$differentially private answer for the following

query:

What is the average hemoglobin value of the patients in the database?

Table $2$: Patient database

hemoglobin and random sugar information. We consider an interactive database query setting

in which the sanitizer accepts queries and computes $lon-$differentially private answers using the

Laplace mechanism where $lon=0\mathrm{.}7.$ Compute an $lon-$differentially private answer for the following

query:

What is the average hemoglobin value of the patients in the database?

Table $2$: Patient database$15$ The following questions are on differential privacy.

a$)[5]$ Show that the sensitivity of a histogram query is $2.$

b$)[5]$ Consider a set of numbers $x=\{x_1,x_2,$cdots,$x_n\}.$ The aggregate$-$sum is computed as

$f(x)={\displaystyle \underset{i=1}{\overset{n}{}}}{x}_i.$ Compute the sensitivity of $f.$