5 Consider the Bayesian Estimation. Your parents are statistician, and you and your brother are playing in the backyard. On one fine day, they saw you on the swing and estimated that while you are on swing you come to rest at the mean rate of either equal to 2 or 4. Prior collecting any data, they though the value of is more likely to be 2 rather than 4. They believe that the prior probabilies are P( = 2) = 0.7 and P( = 4) = 0.3. On one sunny day, your parents observed that around total 5 people including you and your brother are playing in the backyard. As per your parents observation, what is the probability of = 2 and what is the probability of = 4 given that 5 children are playing? Given Information : P(X = 5 | = 2) = 0.022 P(X = 5 | = 4) = 0.105 Show all steps in your calculation