Hi tutor, could you help me with my homework assignment please!! Thank you.

1. What is the area under the curve between 2245.0 and 3373.4 for a normal distribution with mean m =2700 and standard deviation s=260 ?(2 dp) 2 Find the 18" percentile of the above distribution. (1 dp) 3. What is the probability of obtaining a mean of 275.4 or greater from a sample of size 4 from a NORMAL population with mean m=286 and standard deviations=26? (2 up) 4. What is the area under the standard normal curve below z = 0.10 ?(3 dp) 5. Test marks are normally distributed with mean 60 and standard deviation 9. What is the minimum mark required to be in the top 10% ?( nearest integer 6. 100 samples of size 25 are taken from a population with mean 41 and standard deviation 9. How many samples would you expect to have means greater than 52.1?(nearest integer)