1. Simulate 100 random normal variables with mean 1.5 and standard deviation 2. Create a histogram which shows the date in the range between -4 and 10, with clam intenuls of length 0.5 Make eure that your name and current date are also Mcluded M the histogram title on this and all the other histograms you generate for this mereine.
2. Find out how many of your 100 variable are bigger than 0, and estimate the probablity that a single normal variable with mean 1.5 and standard deviation 2 is above O. Write this estimate by hand on your histogram, and show on your histogram which area in being used as your etiolate. Also, emu,. and write the theoretical value this probabity using the table of the normal distribution
3. Simulate 100 sample mews, each made by taking the average of 20 normal variable, mitli mean 1.5 and standard deviation 2. Make a histogram of them sample means in the moge -4 to 0 with dam inter of length 0.5. As M the previous quaff ion, estionte the probability diat sample mean is bigger. write this mtimete I, hend on Your histogram, and show which area is being used as the estimate Also, compute and write the theoretical value this probability using the table of the normal dishibution.
4. What do you notice about the two histogrum and (therefore) about the estimates of probability of getting above 0?