Problem 2 [23 Points (10, 6, 7)]: A Smelly Binomial The following observations tell how many diapers were changed for each toddler at a week of daycare: Mon Tues Weds Thurs Fri toddler a 0 0 1 0 1 toddler b 0 H 0 1 toddler c 0 0 0 0 0 Let us model the total number of diapers changed during one day of daycare as a Binomial Distribution. i Explicitly translate each Binomial assumption into the daycare-diaper context above. Addi- tionally, give some scenario in which this assumption is violated. An example response to the first assumption is shown in blue (you needn't submit a response for this first assumption). . Each Bernoulli Trial is independent The event of one child needing a diaper does not influence another child needing a dia- per. This may not be the case if all the children catch a common illness which increases everyone's diaper needs. . Each event being summed is a Bernoulli trial. . Each Bernoulli Trial is identically distributed ii Find the model parameters n and p which are best supported by the data above. iii Using the model above, compute the probability that more than 1 diaper is changed on a given day