Q114Section C (Part C)114 of 120

Bayesian inference — posterior mean against prior mean

Suppose $X\mid\theta\sim$ Binomial $(7,\theta)$ , $0<\theta<1$ , and the prior distribution of $\theta$ is Beta $(\alpha,\beta)$ where $\alpha>0$ and $\beta>0$ are known. Then which of the following statements MAY NOT be true?

Multiple select: one or more options are correct. Select all of them, then submit — marks need the exact set.

Select every correct option, then submit.

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