Need all questions answered however dont have enough time to individually upload them all one by one. If possible please answer all as I am on a time crunch .

6 The weights of full cans of a particular brand of pet food are normally distributed with mean 260 grams and standard deviation 10 grams. The weights of empty cans can be taken as normally distributed with mean 30 grams and standard deviation 2 grams. Assuming that the weight of the contents is distributed independently of the weight of the empty can, find: a the mean and standard deviation of the weights of the contents of the cans b the probability that two full cans together weigh more than 540 grams 7 A student took careful note of how long his homework assignments took. Although they were designed to be of 30 minutes duration he found that the times were normally distributed with mean 35 minutes and standard deviation 8 minutes. Assuming assignment completion times are independent find: a The probability that the next three assignments each take more than 40 minutes. b The probability that the average time to compete the three assignments is more than 40 minutes. C The probability that the three assignments will take more than 2 hours. 8 If n = 48, x = 86.5 and s = 7.9 determine: a a 90% confidence interval for u a 95% confidence interval for u C a 99% confidence interval for u