College Statistics Quiz
18 questions · no time limit
0:00
PROBABILITY AND SIMULATION
Question 1 of 18
No time limit
Current
Answered
Flagged
Not seen
A circular dartboard has a radius R. In its center is a smaller circular bullseye with a radius of R/4. Assuming a dart hits a random point on the dartboard, a simulation is run to estimate the probability of hitting the bullseye. The simulation generates 2000 random points (x, y) in a square of side 2R that encloses the dartboard. It counts a 'hit' if the point is within the dartboard (x² + y² ≤ R²) and a 'bullseye' if the point is within the bullseye (x² + y² ≤ (R/4)²). The simulation produced 1572 hits on the dartboard, of which 96 were in the bullseye. What is the estimated probability of hitting the bullseye, given the dart hit the dartboard?
YOUR PROGRESS
18
QUESTIONS
Ready when you are
Answer in any order. Your progress shows here as you go.
QUESTIONS
KEYBOARD
Pick an answer ABCD
Next question ↵→
Previous ←
Flag for review F
Answers save as you go · flagged questions come back at the end