SHOW ALL THE STEPS PLEASE

5. Weights of female cats of a certain breed are normally distributed with a mean 4.1 kg and a standard deviation 0.6 kg. (a) What proportion of female cats have weights between 3.7 and 4.4 kg? (b) A certain female cat has a weight that is 0.5 standard deviations above the mean. What proportion of female cats are heavier than this one? (c) How heavy is a female cat whose weight is on 80" percentile? (d) A female cat is chosen at random. What is the probability that exactly one of them weighs more than 4.5 kg? (e) Six female cats are chosen at random. What is the probability that exactly one of them weighs more than 4.5 kg