GIVE TYPED WRITING SO I CAN UNDERSTAND CLEARLY.

Hi,kindly reply with whole answers correct,accurate answers and step by step working.Do not skip step.Be very clear and mention about the formula for each step.Make sure the answers are correct and accurate. Be very organised with the working and systematic.Please explain to support and make it clear.

STA September 2015

QUESTION 3 a) The letters in the word SUCCESS are to be arranged in a row. Find i) the total number of arrangements. (2 marks) in) the number of arrangements in which the letter is start with a 'C'. (3 marks) b) Given P(AB)= _.P(B) => and P(AnB)-? i) Find P(AnB). (2 marks) ii) Find P(A'UB) [Hint: Use a Venn diagram] (2 marks) ill) Find P(A' | B). (3 marks) iv) Determine whether A and B are mutually exclusive events. (1 mark) c) The probability that a group of students will pass subjects Probability, Chemistry and Physic are 25%, 35% and 40% respectively. It shows that females students will pass these three subjects are 80%, 90% and 70% respectively. 1) Draw a tree diagram to illustrate the above situation. (3 marks) ii) Find the probability that a male student will pass all these three subjects. (2 marks) ii) Find the probability that a student will pass Chemistry given that the student is a female