4. In problems 46, you'll be working with a Beta distribution with parameters shape1=B and shape2=2 {check out ?dioeta for part a or ?r1oeta for part b]. This distribution has a true mean of ox = 0.8 and a true standard deviation of ox = 0.1206. [Note You do not need to have anywhere close to a thorough understanding of the Beta distribution in order to do these problems. It is, like the Normal, a continuous distribution that has two parameters and its own similar suite of builtin R functions. Its support is all values between 0 and 1.] a. Plot the probability density function curve of this Beta distribution and describe its shape. b. Generate a random sample of size n = 4 from this Beta distribution, and nd your sample's mean and standard deviation. Your statistics might be somewhat \"close\" to the parameters given above, but don't expect them to be exact