Consider joint probability distribution given below. 1.0 1 1/16 1.5 2 5/16 1.5 3 1/4 2.5 4 1/4 3.0 5 1/8 Determine the following: In your intermediate calculations, round all fractions to three decimal places. Round your answers to three decimal places (e. g. 98.765). (a) Conditional probability distribution of given that . 1 Enter your answer; f_[Y|1.5](1) 2 Enter your answer; f_[Y|1.5](2) 3 Enter your answer; f_[Y|1.5](3) 4 Enter your answer; f_[Y|1.5](4) 5 Enter your answer; f_[Y|1.5](5) (b) Conditional probability distribution of given that . 1.0 Enter your answer; f_[X|2](1.0) 1.5 Enter your answer; f_[X|2](1.5) 2.5 Enter your answer; f_[X|2](2.5) 3 Enter your answer; f_[X|2](3) (c) Enter your answer in accordance to the item c) of the question statement (d) Are and independent