1. Define a normal distribution. Show the step that you use to compute the probability by using a normal distribution with specific mean and specific variance (you can choose suitable values for the mean and variance in your example).2. State the central limit theorem. Describe simple random sampling. How would the sample mean of a simple random sampling be distributed? Give a numerical example showing that you calculated the likely hood of a sample mean to exceed a given value when the population mean, variance and the sample size is known?3. Describe the difference between and point estimate and an interval estimate. Give a numerical example showing the steps of constructing a confidence interval for a population mean.

Discuss the pricing and production decisions of a firm operating in a perfectly competitive market and compare them with a firm operating in a monopoly market, monopolistic competition and an oligopoly market. Explain why monopolies are almost always regulated? Give a real-world example. Is your firm or industry regulated? How does the production and pricing decisions are made in your firm?****THIS QUESTION MUST BE ANSWERED IN NO MORE THAN 200-300 WORDS, AND IS NEEDED BY 4PM TOMORROW EASTERN TIME.

Complete each of the following ANOVA summary tables.  In addition, answer the following questions for each of the ANOVA summary tables: A.  What is the factorial notation? B.  How many conditions were in the study? C.  How many subjects were in the study? D.  Identify significant main effects and interaction effects. Source      DF      SS         MS        F A               1          60  B               2          40  AxB           2          90  Error        30  Total         35        390 Source        DF       SS           MS        F A                  2          40 B                  3          60 AxB              6         150  Error            72  Total             83        400 Source         DF       SS        MS      F A                  1           10  B                  1           60 AxB              1           20 Error            36    Total             39         150Please explain in detail how you arrived at the answer.  I am trying to learn this material.