Part 1. Demonstrate that you understand basic concept of NormalDistribution. In two small paragraphs describe a couple ofproperties/rules of Normal distribution. Hint: look for KEY FACTSand DEFINITIONS in sections 6.1 and 6.2 of eText. Give one exampleof some practical case where we can use Normal distribution (forinstance, IQ scores follow a normal distribution of probabilitieswith the mean IQ of 100 and a standard deviation around the mean ofabout 15 IQ points.) Part 2. Assign your numbers for mean μ andstandard deviation σ. Make sure μ is about four times bigger thanσ. Then select any number \"a\" below or above mean μ, but not toofar from μ , difference (a - μ) should be less than 3σ. Forexample, μ = 80, σ = 20, a = 90 (or a = 75). Find following twoprobabilities: 1) P(x < a) 2) P(x > a) First, use formula: z= (a - μ)/σ to calculate z-value and then use Appendix Table forStandard Normal Distribution. You can find tables in Appendix toour eText or attached below. Remember, Appendix Table gives youprobability P(xa) use formula: P(x>a) = 1 - P(x
