please help me to solve these questions.

Question 2 [Leave your final answers in 4 decimal places] (c) A fortune teller can predict the winner of soccer matches with 65% accuracy. If the fortune teller is to predict the winners for the next 9 soccer matches, find the probability that he will correctly predict the winner of (i) all 9 matches, (2 marks) (ii) at least 7 matches. (4 marks) (d) It is known from the past that the length of time it takes a student to find a parking spot in the school parking lot follows a normal distribution with a mean of 5.1 minutes and a standard deviation of 1.3 minutes. (i) Find the probability that a randomly selected student will find a parking lot in less than 4 minutes? (4 marks) (ii) Find the probability that a randomly selected student will find a parking lot between 4 and 5.5 minutes? (4 marks) (iii) What is the cut off for the highest 25% of the time for students to find a spot? [Leave your final answers in 2 decimal places] (4 marks) (iv) The school has taken several steps to improve the time taken for a student to find a parking spot. After the implementation, assuming the time taken to find a parking slot remain normally distributed with same variance. Determine the 95% confidence interval of the new population mean time taken to find a parking slot, if randomly selected 15 students shown a mean time of 3.5 minutes is observed