Answer number 7 and 8 pls. I don't want to waste my money here. A. Answer the following problems. Show all necessary solutions and graphs.1. Suppose 95.4% of patients in a hospital have weights between 60 kg and 80 kg. Findthe mean, variance, and standard deviation of the normal random variable.2. Using the standard normal curve, find the probability that a given value falls between -2.96 and 1.05. Shade the region that corresponds to this probability.3. Use linear interpolation to identify the probability value corresponding to a standardnormal score of 2.1764.4. Find the z-score corresponding to an area of 0.8888 to its right.5. Find the standard normal score that corresponds to the first quartile.6. The ages of a certain group of students in a school follow a normal distribution with amean of 13 and a standard deviation of 1.5. Find the probability that a randomlyselected students is between 10 and 16 years old.7. Enumerate the different sampling techniques and classify then as probatbility or non-probability sampling.8. A sample size n 5 is drawn from a set 10, 14, 18, 23, 31, and 34 without replacement.Construct the sampling distribution and determine the mean, variance and thestandard error of the sample means.9. Random samples with size 25 are drawn from the population with a mean of 30 and astandard deviation of 8. Find the mean and the standard error of the sample means.10.A population has a mean of 85 and a standard deviation of 2.3. What is the probabilitythat the mean of a random sample with size 30 falls between 80 and 88?

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7. Enumerate the different sampling techniques and classify then as probability or non- probability sampling.