What is the posterior mean after observing three people with an IQ of 110 in a row?

 
 
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If I observe now five people: the first three have an IQ of 110, and the last two have an IQ of 125, which of the following are true?

Now, lets say that I observe two more people and I see that they also have IQs of 110. So we have three people with IQs of 110. How does the variance of my estimate change from my prior? We can do…

Let's say that we observe a person with an IQ of 125, as we did in the lecture. Which way should the posterior distribution, after our Bayesian update, shift?

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