Find the following probabilities by checking the z table i) (2.5<<0.8) ii) (1.30<<2.15) 8 Part b) (8 marks) Battery manufacturers compete on the basis of the amount of time their products last in cameras and toys. A manufacturer of alkaline batteries has observed that its batteries last for an average 26 hours when used in a toy racing car. The amount of time is normally distributed with a standard division of 2.5 hours. i) What is the probability that the battery lasts between 24 and 30 hours? ii) What is the probability that the battery lasts longer than 30 hours iii) What is the probability that the battery lasts less than 24 hours.