5. Whether to play tennis indoor, outdoor or not is decided by the speed of the wind. The following is the list of recorded data from the past. Sl num 1 2 3 4 6 7 8 9 10 Play Tennis Indoor Not Outdoor Indoor Not Outdoor Not Indoor Outdoor Not Km/H 28.2 41.2 12.4 25.1 37.3 11.5 38.9 27.8 9.9 44.2 b. a. Find the prior probability for each tennis to play indoor, outdoor or not. Assume the wind speed is following the Gaussian distribution. Using the Bayesian rule, compute the probability of not playing the wind speed measured as 36.6km/h. It is given that the probability of wind speed is 36.6 km/h for a day is 0.3. c. Assume the wind speed is following the Gaussian (normal) distribution. Using the Bayesian rule, compute the probability of Indoor playing the wind speed is greater than 21km/h. It is given that the probability of wind speed of greater than 21km/h for a day is 0.4. [2+4+2]