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 October 2016

QUESTION 3 a) Find the different number of words that can be formed from all the letters in the word MICROBIOLOGY if these words must start with M. (2 marks) b) A and B are two independent events. Given that P (A) = 0.7 and P (AnB) =0.3, calculate: 1) P(B) 1) P(A|B) (4 marks) c) Professor Z has been teaching statistics course for many years. He knows from experience that 80% of the students will complete the assigned problems. Among those who complete the assigned problems, 90% will pass the course and among those students who do not complete their assigned problems, 40% will pass the course. 1) Draw a tree diagram to represent the above situation. (3 marks) il) A student is chosen at random from Professor Z's class. Calculate the probability that he will pass the course. (3 marks) ii) A student took the course last semester from Professor Z and received a passing grade. What is the probability that he completed the assignment? (4 marks)QUESTION 4 a) The probability density function of a continuous random variable is given by x , OsX