Homework $($see instructor and schedule for due date$)$:

$1)$ Describe the $3-$door problem to a friend, acquaintance, family member, fellow student. What is their answer?

Do they believe Marilyn? Can they $($and you$)$ explain why? $($Be polite.$)$

$2)$ Devise an experiment with or without using a computer to determine the answer. The experiment should be

in $2$ parts. In part $1,$ the person picking the doors does not change their minds when the door with the goat is

revealed by the host $($no switching allowed$).$ In part $2,$ the person picking the doors takes Marilyn's advice and

switches every time. Record data for each part. Include the number of times $($and percentage$)$ the contestant is

correct and the total number of trials. $($I recommend at least $15$ to $20$ trials or more for each part.$)$ In both parts,

you will be the $$host$($you know where the car is; you know what door to show the player$).$

$$ How many data points do you need for the test to be valid?

$$ How are you going to setup the experiment?

$$ What equipment do you need? $($cups$,$ cards, coins, C$++$ program, etc.$)$

$$ How do you generate a random number? $($dice$,$ C$++$ program, etc.$)$

Submit a short report $($typed; $1-2$ pages or less $)$ with recorded data included. Include header and title. Explain

how experiment was setup and executed. Include background of participants $($nothing personal$).$ Include table of

results $($data$)$ for both parts. Include any reactions from friends. Any digital photos of experimental setup should

be included. If you created a C$++$ program to help with the experiment $($such as create the random numbers or

record the experimental results, etc.$)$ then include the C$++$ program in the report. Explain in a few sentences if

the experiment was successful and why. $($This is an individual homework, not a team homew