est how many i

$.$

i

$.$

d

$.$

$$r

$.$

v

$.$

$\text{'}$

s are needed to achieve relative accuracy

$0$

$.$

$1$

$,$

$0$

$.$

$0$

$1$

$,$

$$and

$0$

$.$

$0$

$0$

$1$

$.$

The relative accuracy is defined as

$|$

$$

$$

$$

$($

$$

$)$

$-$

$$

$|$

I

$,$

$$where hat

$($

$$

$)$

$$is the estimate you obtained. Note

that you may find a different answer whenever you have a different run of your code.

Please report the average number of i

$.$

i

$.$

d

$.$

$$r

$.$

v

$.$

$\text{'}$

s over at least

$1$

$0$

$$runs needed to achieve the

prescribed relative accuracy. You can use whatever general programming language

$($

Python

$/$

C

$+$

$+$

$/$

VB

$/$

Matlab

$/$

Java

$/$

EXCEL

$)$

$$that you are familiar with to write the code. The

code is required as part of the answers; in addition, you have to include the necessary

description of how the answers are obtained