can you answer 28a,b,c 28. Below is a relative frequency bar chart of the number of children in American households. Thehorizontal axis is the number of children (0, 1, 2, 3, or 4) and the vertical axis is the fraction of householdswith that many children.0.4ili.0.350.30.250.20.150.10.05124a) Describe the shape of this graph: is it uniform, symmetric, skewed right, or skewed left?b) Since probabilities are just relative frequencies, we can fill in the following probability table. All youhave to do is read off the chart above. You may need a straight edge to help. One box has been filled infor you to show the idea.1234P(x)0.24c) Check to make sure that you’ve accounted for 100% of the data by adding up the second row – youshould get 1.00d) Verify that the mean of this distribution is u = 1.1 The formula is µ = E[xP(x)], which means thatyou should multiply each column of the table, x times P(x), then add all the results. Since you've beengiven the answer, the key here is to show your work. When doing statistics, usually we do not have access to the population data represented in that bar graph.Instead, we might try to use a survey to estimate the mean number of children in an American household.Suppose that a survey is taken with a sample size of 36. The results are summarized as follows:Sample mean is x = 1.3Sample standard deviation is s = 0.7e) Find the margin of error E for this survey, with 99% confidence. Be sure to look up the correctformula. If you are unfamiliar with E, it's the number after the “+/-" in Professor Avedikian's notes. Hereis a useful portion of the chart for Student's t-distribution.Area to the right of t0.050.0250.005t-score, df= 351.6902.030 2.724t-score, df= 361.6882.0282.719t-score, df= 371.6872.0262.715Confidence level90%95%99%f) Fill in the blanks in the following statement with the appropriate numbers (rounded off)."Based on the results of our survey, we are% confident that the population mean µ isbetweenandg) Simple yes or no: did this survey "get it right"? In other words, is the true value u = 1.1 within theconfidence interval?h) If you were able to spend more time and money in order to improve the survey, what should you do?What is the best way to either increase the confidence or decrease the margin of error?

28. Below is a relative frequency bar chart of the number of children in American households. The horizontal axis is the number of children (o, 1, 2, 3, or 4) and the vertical axis is the fraction of households with that many children. 0.4 0.35 0.3 0.25 0.2 0.15 0.1 0.05 1 2 3 4 a) Describe the shape of this graph: is it uniform, symmetric, skewed right, or skewed left? b) Since probabilities are just relative frequencies, we can fill in the following probability table. All you have to do is read off the chart above. You may need a straight edge to help. One box has been filled in for you to show the idea. 1 3 4 P(x) 0.24 c) Check to make sure that you've accounted for 100% of the data by adding up the second row – you should get 1.00