(ii) (iii) (\"0 Observe that for a sufficiently nice function glm). OO Elg(Bt)l = / WWW. 00 Without doing any calculations, what do you think ff; g(a:)qb(m, 0)d$ should be equal to? Plot M2515) for t = 1/10,1/100,1/1000,1/10000. What do you think is happening as t gets very small? Define (without worrying too much about the mathematical details) 6(22) = 93% km). What do you think If; g(m)6(x)d$ should be equal to (there is no need for calculations, but do use your intuition)? We can think of 6(m) as probability density function, where all the probability mass is centered at :1; = 0. Therefore, for m 7E 0, 6(m) = 0, but 6(23) becomes infinitely large for a: = 0. 6(33) is known as the Dirac delta function