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# Assume that  =( 1, 2, 3, 4) ﻿is a random sample (see page 5 ﻿of the handout) ﻿ofthe distribution  (0, ), ﻿where  >0 ﻿is the parameter. Assume that data

Assume that  =( 1, 2, 3, 4) ﻿is a random sample (see page 5 ﻿of the handout) ﻿ofthe distribution  (0, ), ﻿where  >0 ﻿is the parameter. Assume that data have beenobtained in response to this  =(11.56,9.39,13.37,6.36)Suppose we know with certainty that  <20. ﻿Let’s use the uniform distribution ( ) ﻿between 0,20 ﻿as the prior distribution. i) ﻿Calculate the likelihood function |→ ( | ) ﻿while justifying why  ( | )=0 ﻿when  <13.37. ﻿ii) ﻿Calculate thedensity function  |

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