I need the step by step working

* Give your answers correct to at least 4 decimal places, whenever applicable. a ) The following data indicates the arrival time of 200 flights from two different airports in a certain country. On time Less than 1 hour late More than 1 hour late Airport A 60 35 45 Airport B 28 22 10 (i) Find the probability that a randomly selected flight (1) arrives on time or from Airport B; (2 marks) 35 Go (2) arrives on time or less than 1 hour late if the flight is from Airport A. (3 marks) (ii) Are the events "arrive on time" and "less than 1 hour late" mutually exclusive? Explain. (2 marks) (iii) Are the events "Airport A" and "more than 1 hour late" independent? Explain. (3 marks) b) A technician receives call to repair refrigerator at a mean rate of 6 refrigerators per week. (i) Find the probability that the technician repairs less than 2 refrigerators in any randomly selected week. (3 marks) (ii) Using a suitable approximation, find the probability that the technician repairs more than 130 refrigerators during a 21-week period. (4 marks) c) The volumes of Thai chili sauce in bottles are normally distributed with a mean of 680 ml and a standard deviation of 18 ml. Find the probability that (i) a randomly selected bottle contains less than 670 ml; (4 marks) (ii) a box of 10 randomly selected bottles contains at least one) bottle whose volume are (less than 670 ml. ) (4 marks)