5. Let CI"'1,.T2,,...?CI"' be i.i.d. ~:3~bser1l..latiurnsI each drawn from a common normal distribution with mean zero. 1With probability If? this nomial distribution has varianoe 11 and with probability 1;\"): it has variance 4. Based on the observed values thtg, . . . ,tm we use the MAP rule to decide whether the normal distribution From which they 1were drawn has variance 1 or varianoe 4. The MAP rule decides that the underlying normal distribution has varianoe 1 if and only if ail. n a 111 Eff + ~5th; i=1 i=1 Find the values of c1 33 U and (:2 33 In such that this is true. Express your answer in terms of n