A researcher is studying the ability for bees to learn to perform complicated tasks. She measures how long it takes bees to roll a ball to the center of a platform where they are rewarded with a dose of sugary water. The times follow a Normal distribution with an average time of 8.3 seconds and a standard deviation of 2.1 seconds.  i. What is the probability that a bee completes the task in under 9 seconds?  ii. What is the probability that the average time of a group of 6 bees is less than 9 seconds? iii. Which is more likely, that a bee takes more than 9 seconds to complete the task or that the average time of 6 bees to complete the task is more than 9 seconds?

A researcher is studying the ability for bees to learn to perform complicated tasks. She measures how long it takes bees to roll a ball to the center of a platform where they are rewarded with a dose of sugary water. The times follow a Normal distribution with an average time of 8.3 seconds and a standard deviation of 2.1 seconds. 

i. What is the probability that a bee completes the task in under 9 seconds? 

ii. What is the probability that the average time of a group of 6 bees is less than 9 seconds?

iii. Which is more likely, that a bee takes more than 9 seconds to complete the task or that the average time of 6 bees to complete the task is more than 9 seconds?