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.

STA108

June 2019

QUESTION 5 a) A student wishes to arrange letters from the word 'TREES'. i) Find the number of different arrangements that can be made. ii) How many ways can the letters from the word 'TREES' be ordered such that each "word" starts with a consonant and end with a vowel? (4 marks) b) A and B are independent events with P(AUB) = ~ andP(An B') =3 Find 1) P(B). i1) P(A'UB'), given P(A) = (5 marks) QUESTION 6 Faizal wants to apply for a graduate school at University T. From the previous records, 42% of the applications to the university had been accepted. It is also known that 70% of these students who had been accepted to the university passed the entrance exam while 40% of the students who were not accepted passed the entrance exam. a) Draw a tree diagram to represent the above situation. (3 marks) b) Find the probability that a student passed the entrance exam. (2 marks) C) Faizal took the entrance exam and his failed. What is the probability that he will be accepted into the graduate school at University T