A survey is conducted on 20 respondents to gather information on customer satisfaction for a product. The data on customer satisfaction is obtained on a 3 point scale viz. highly satisfied (HS), satisfied (S), not satisfied (NS) and also on gender- male (M) and female (F). The data is recorded as shown below: Respondents Gender Satisfaction level 1 M S 2 F S 3 F NS 4 F S 5 F NS 6 F NS 7 F NS 8 M NS 9 M HS 10 M HS 11 M S 12 M NS 13 F HS 14 F S 15 F S 16 F HS 17 M NS 18 F NS a) Suppose a random variable is defined on the basis of the above data as number of \"highly satisfied\" customers for the product. Develop a probability model for the random variable and find out its mean and variance. b) Using the probability model, calculate the probability that at least three customers will be highly satisfied? c) How this % values derived in the below table d)Probability of a person is not satisfied. 2) At a large pharmaceutical company, 52 percent of the sales representative are women, and 44 percent of the sales representatives having a management position are women. Given that 25 percent of the sales representatives have a management position, we wish to find The percentage of the sales representatives that have management position and are women. The percentage of the female sales representatives that have management position. The percentage of the sales representatives that have management position and are men. The percentage of the male sales representatives that have management position. 19 M S 20 M S \f