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for part C),

I'm tempted to think this is a uniform distribution, though not quite sure, as there are two numbers, 50 and 80.

I'm also tempted to think this could be a normal distribution, where I try to build simultaneous equations using the Z-score equation, to solve for mean and standard deviation?

Any ideas how I would go about answering this?


  • $\begingroup$ You can use the fact that $Pr[A]=Pr[A|B]\cdot Pr[B] + Pr[A|\neg B]\cdot Pr[\neg B]$. For example $$ Pr[C_B=50] = \overbrace{Pr[C_B=50|X\leq 1/2]}^{=1}\cdot Pr[X\leq 1/2] + \overbrace{Pr[C_B=50|X> 1/2]}^{=0}\cdot Pr[X> 1/2] $$ $\endgroup$ – Zubzub Apr 24 '17 at 11:41
  • $\begingroup$ @blaaaaaaa It is best not to use pictures. Instead use mathjax. Here is a tutorial at math.meta.stackexchange.com/questions/5020/…> $\endgroup$ – Arbuja Apr 24 '17 at 12:04

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