Question

Information. Say that you have access to a biased coin that has probability of a head toss equal to P. You don't know P but would like to estimate it by tossing the coin n times, and observing the total number of head tosses H. Pis a random variable itself but you do not have access to its prior distribution. 36.) Given that you observe P, what is the conditional PMF of H Php(kp)? (%)p(1 - p)n-k . (n.) p* (1 – p)n-k (1 - p) prk (.) (1 – p) ipak pl (1 - p)n-k (1 - p)* .pl ()pl (1 - p)n- (%) (1 - p) prek () (1 - p) pr-k Points possible: 3 Allowed attempts: 3 Retry penalty: 33.33% Submit

Answer 1

36) First option is TRUE

37) First option is TRUE

41) ML estimate of p is 7/10=0.7

42) ML estimate of p is 30/100=0.30

[In general, ML estimate of p is (number of successes observed in n tosses)/n]

For query in above, comment.