$1)$ The code you used to calculate your answer for Question $1($note: It's totally fine to use the 'Generate with AI$\text{'}$ approach here!$)$

$2)$ Your calculated answer for Question $1$

$3)$ One assumption of the new $$Vaccination$$ model and an explanation of why it may or may not be a valid assumption $($Important: you don$$t need to submit code here or calculations$).$