Question

Mandy and Pete have a biased spinner numbered 1, 2, 3, 4, 5. They each want to find an estimate for the probability that the spinner will land on a 5. Mandy spins the spinner 20 times and records the number of times the spinner lands on a 5. Pete spins the spinner 200 times and records the number of times the spinner lands on a 5. Is Mandy or Pete more likely to get the better estimate? You must give a reason for your answer.

Answer 1

Answer:

Pete

Step-by-step explanation:

Given that:

Mandy's Estimate :

Number of spins , n = 20

Pete's Estimate:

Number of spins, n = 200

A good probability estimate is one which has narrow margin of error with a high degree of confidence. These two variables are affected by sample size.

A high sample size give a narrower margin of error and increases the confidence level probability

Based on the sample size used by each of Pete and Mandy, we can conclude that, Pete's probability estimate would be better due to its significantly higher sample size.