Question

In: Statistics and Probability

1: You are on a game show standing in front of 3 doors. Behind 1 door...

1: You are on a game show standing in front of 3 doors. Behind 1 door there is a brand new car, behind the other 2 doors are goats. You select door #2, but before the host opens your selected door, he opens door #1, revealing a goat. The host then gives you the option of changing your selection to door #3. Should you switch doors? What is the probability that the car is behind door #3?

Solutions

Expert Solution


Related Solutions

Suppose you are on a game show and are shown three doors. Behind two are goats,...
Suppose you are on a game show and are shown three doors. Behind two are goats, and behind the third is a shiny new car. You are asked to pick a door, and will win whatever is behind it. Let's say you pick door 1. Before the door is opened, however, the host, who knows what's behind the doors, opens one of the other two doors, revealing a goat, and asks you if you wish to change your selection to...
A game show has three doors for a contestant to choose from. Behind one of the...
A game show has three doors for a contestant to choose from. Behind one of the doors is a brand new car, and behind the other two doors are a goat. The contestant randomly picks a door (⅓ probability of each). The host opens one of the other two doors and reveals a goat. The host then gives the contestant the option of keeping their original door, or switching to the other unopened door. If the contestant switches, what is...
A student is standing still at the front doors of Maple. They start running to catch...
A student is standing still at the front doors of Maple. They start running to catch the bus at 2 (a) How far away is the bus stop if they reach the bus stop after accelerating from standing still until reaching maximum speed and running at that speed for 1 minute? (assume when they reach the bus stop they are at rest.) (b) Suppose that the student gets to the bus stop and realizes they forgot their laptop in Maple....
In the problem, you are on a game show, being asked to choose between three doors....
In the problem, you are on a game show, being asked to choose between three doors. Behind each door, there is either a car or a goat. You choose a door. The host, Monty Hall, picks one of the other doors, which he knows has a goat behind it, and opens it, showing you the goat. (You know, by the rules of the game, that Monty will always reveal a goat.) Monty then asks whether you would like to switch...
1) After hearing a knock at your front door, you are surprised to see the Prize...
1) After hearing a knock at your front door, you are surprised to see the Prize Patrol from your state’s online lottery agency. Upon opening your door, you learn you have won the lottery of $14.5 million. You discover that you have three options: (1) you can receive $1.45 million per year for the next 10 years, (2) you can have $11.6 million today, or (3) you can have $4.4 million today and receive $1.20 million for each of the...
3. Fifer Company produces two types of entry doors: the Hollow Core and the Solid Door...
3. Fifer Company produces two types of entry doors: the Hollow Core and the Solid Door models. The Company has used direct labor dollars to allocate the overhead cost $47,450,000. The company’s CFO, Brian Smythe , has offered the following information regarding the two products: Hollow Core       Solid Door Sales in units      400,000        50,000 Sales price per unit          $475.00                 $650.00 Direct materials per unit               55.00     130.00 Direct labor cost per unit              75.00     50.00 The company has hired you...
You are standing 2.50m directly in front of one of the two loudspeakers shown in the...
You are standing 2.50m directly in front of one of the two loudspeakers shown in the figure. They are 3.00m apart and both are playing a 686Hz tone in phase. As you begin to walk directly away from the speaker, at what distances from the speaker do you hear a minimum sound intensity? The room temperature is 20?C. Enter your answers numerically in increasing order separated by commas.
Using Rstudio # 1. Monty-Hall Three doors Recall the Monty-Hall game with three doors, discussed in...
Using Rstudio # 1. Monty-Hall Three doors Recall the Monty-Hall game with three doors, discussed in class. Run a simulation to check that the probablility of winning increases to 2/3 if we switch doors at step two. Set up the experiment two functions "monty_3doors_noswitch" and "monty_3doors_switch" (these functions will have no input values): ```{r} monty_3doors_noswitch <- function(){    } monty_3doors_switch <- function(){    } ``` Use your two functions and the replicate function to compute the empirical probablility of winning...
After hearing a knock at your front door, you are surprised to see the Prize Patrol...
After hearing a knock at your front door, you are surprised to see the Prize Patrol from your state’s online lottery agency. Upon opening your door, you learn you have won the lottery of $14.5 million. You discover that you have three options: (1) you can receive $1.45 million per year for the next 10 years, (2) you can have $11.6 million today, or (3) you can have $4.4 million today and receive $1.20 million for each of the next...
Starting from the front door of your house, you walk 60.0 m due east to a...
Starting from the front door of your house, you walk 60.0 m due east to a store, and then you walk 40.0 in the direction that is 30.0o south of west to a bench where you sit and read a physics book. For the entire trip starting from the front door of your house to the bench, what is your displacement vector? a) 72.1 m at 33.7o south of east b) 72.1 m at 56.3o south of east c) 32.3...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT