The marketing division of the beverage company wants to conduct a survey to gather information on customer satisfaction for its popular brand, Cola. The data on customer rating is obtained on a 3- point satisfaction scale, HS (Highly satisfied), S( Satisfied ), NS ( Not Satisfied ). Moreover, data on their age group L (

1. Construct probability table for "Age group " and Satisfaction level"

2. What is the probability that respondent who is "Satisfied" will belong to age group L?

3. What proportion of the respondents would be "Highly satisfied ?

4. How likely a 50 years old respondent won't be satisfied ?

5. Suppose a random variable is defined on the basis of the above data as number of respondents who are " Satisfied " with the brand. Develop a probability model for the random variable.

6. Using the probability model, calculate the probability that at least three customers will be "Satisfied" ?

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's the data follows Poisson distribution with mean 2 per minute.

7. Define the relevant random variable which follows Poisson distribution. What is the mean and standard deviation of the distribution?

8. Find the probability the number of footfalls on a weekday between 11:30 - 11:31 am will be 4

9. Find the probability that at least 2 footfalls will be recorded between 7:00-7:05 pm

The table is attached.