Online gaming is hugely popular with children and young people. Annual research conducted by OFCOM shows that gaming is still one of the top activities enjoyed by 5-16 year old's online, with many of them gaming via mobile devices and going online using their games console. Assuming there was a survey conducted in San Jose City, 100 students were the respondents who are playing mobile games. Thedata gathered resulted to 5 mobile games mainly played by the respondents. Let Z be the random variablerepresenting the number of Mobile Legends that are mainly played. Find the values of the random variable Z. Let the following random variable represents the popular online games mainly played. Random W X Z Variable PLAYER LEAGE OF CALL OF DEFENSE OF MOBILE Popular UNKNOWN'S LEGENDS DUTY THE LEGENDS Online BATTLE (LOL) (COD) ANCIENTS (ML) Games GROUNDS (DOTA) PUBG) Consider that these are the results of the survey. COD COD LOL DOTA LOL ML COD PUBG ML PUBG ML PUBG LOL DOTA LOL ML COD PUBG DOTA LOL LOL PUBG ML DOTA PUBG ML DOTA ML DOTA COD ML DOTA ML ML MI LOL PUBG ML PUBG ML ML ML PUBG ML PUBG LOL PUBG COD PUBG ML DOTA ML PUBG PUBG COD DOTA DOTA ML LOL LOL PUBG COD PUBG COD LOL PUBG ML LOL COD ML LOL PUBG COD LOL ML COD LOL ML LOL DOTA PUBG ML COD PUBG PUBG ML LOL DOTA ML PUBG ML LOL PUBG COD DOTA DOTA COD PUBG LOL ML Answer/do the following: a. Construct the Table of Possible Outcomes (20 points) b. Construct the table of probability distribution or the probability mass function of the discrete random variable Z. (20 points) C. Construct the probability histogram of the discrete random variable Z. (20 points) d. Apply the formula P(a s x s b) = Zi=a Px(X;) to solve the probability of discrete random variable Z. Make a conclusion. (10 points) Note: Simplify your answer or make it in a lowest term. Rubrics for Problem Solving Descriptors Score All computation and graphs are complete and correct 20 Computation and graphs are generally correct but contain minor flaws 15 Computation and graphs are generally incorrect or incomplete 10 Computation and graphs are incorrect 5 No attempt 0