A survey of 100 students was made to determine whether or not they prefer to attend online lecture sessions. The results are summarized in the following table:

Gender

Online Lecture Prefer Not Prefer Total Male 48 12 60 Female 25 15 40 Total 73 27 100

i) If a female in the survey was selected, find the probability that she is not preferred the online lecture sessions. ii) Determine whether the female and unpreferable lecture sessions are independent by providing statistical evidence. iii) Calculate the probability that a selected student is a male and liked to attend the online lecture sessions. c) A contractor estimates the probability distribution of his earned profits (x) due to bidding on contracts. The probability distribution is provided as below: X (RM) 1000 500 200 0 Probability 0.15 0.30 0.45 0.10 i) Calculate the expected number of the contractor's profits. ii) Determine the variance and standard deviation for the above random variable.