please solve question

The volume in ml of a paper cup is normally distributed C = N(250 ; Q). A coffee machine fills these cups. The filling volume in ml of the coffee machine is normally distributed M = N(230 ; 0) Q 3 e 4 a. Determine the probability that a coffee cup has a volume between 240 and 245 ml. b. Determine the percentage of cups that overflow through the coffee machine during filling- The factory wants to reduce the risk of flooding to 0.0001. They want to achieve this by resetting the coffee machine. The mean filling volume remains the same, the standard deviation is adjusted. C. Determine the standard deviation (1 decimal) to which the coffee machine should be set so that the probability of flooding is 0.0001. The factory that produces the paper cups will also produce large cups. The volume in ml of these large beakers is normally distributed. The standard deviation of this production is A ml. The average volume must be determined. 4=5 d. Determine the average volume (1 decimal) of the large paper cups so that in 97% of the cases the volume is greater than 500 ml