Exercise

Comparing normal priors

Suppose Wendy and Rachel have different opinions about my average response time M in the online game.

Wendy's prior for M (shown as the red curve) is normal with mean 240ms and standard deviation 30 ms, and Rachel's prior (shown as blue) is normal with mean 260 ms and the same standard deviation.

The black vertical lines divide the possible values of M into "fast", "average", and "slow" regions.

Which statement is true?

Instructions

50 XP

Possible Answers

Both Wendy and Rachel assign the same probability to the event that I am "slow".
Wendy assigns a higher probability to me being "slow".
Rachel assigns a higher probability to me being "slow".
One cannot tell if Wendy or Rachel assigns a higher probability to "slow" from the figure.

Take Hint (-15 XP)