Suppose a random variable is defined on the basis of the above data as number of respondents who are "Satisfied" with the brand. d) Develop a probability model for the random variable. (2) e) Using the probability model, calculate the probability that at least three customers will be "Satisfied"? (showing probability statement/ formulation is mandatory, while final answer is not) (2) 7 The Survey is conducted in a shopping mall where the interviewer is standing at the entrance and record the number of footfalls per minutes. After conducting such an interview for three months, the interviewer finds that the data follows Poisson distribution with mean 2 per minute. g) Define the relevant random variable which follows Poisson distribution. What is the mean and standard deviation of the distribution? (1) h) Find the probability the number of footfalls on a weekday between 11:30-11:31 am will be 4. (showing probability statement/formulation is mandatory, while final answer is not) (2) i) Find the probability that at least 2 footfalls will be recorded between 7:00-7:05 pm. (3) (showing probability statement/ formulation is mandatory, while final answer is not)