Find the expected value of this probability distribution. Round your answer to one decimal place. |:] For a group of four 70-year old men, the probability distribution for the number _ who live through the next year is as given in the table below. P(x) 0 0.0202 1 0.1335 2 0.3310 3 0.3646 4 0.1507 Verify that the table is indeed a probability distribution. Then find the expected value. Expected Value = Report answer accurate to 1 decimal place.When juries are selected, the demographics of the jury should match that of the county. For example, you would expect most juries to be split about evenly between the genders (and include those who are non- gender conforming for the percentage in the county). Occasionally unlikely events DO happen, so it is possible to have an all male-identifying or all female-identifying jury - but if there are a lot of all male- identifying jurors, there is bias in the selection process. Similarly, most jury selections should have the same number of jurors for the racial demographics for the area and if they do not, there is racism in the selection. [Unfortunately, this exists. Here is a short article that has a video: https://www.vox.com/videos/2018/10/12/17968090/how-racism-shapes-jury-selection] Assume that 12 jurors are randomly selected from a population in which 83% of the people are Mexican- Americans. Refer to the probability distribution table below and find the indicated probabilities. NOTE: We have not discussed how to create a table like this in our course. It gives the expected probability for having a jury with a given number of Mexican-Americans on the jury. The probability will be higher when it is closer to the percentage of the population. P(x) 0 0+ 2 0+ 4 0.0002 5 0.0013 0.0073 7 0.0305 8 0.0931 9 0.2021 10 0.296 11 0.2627 12 |0.1069 Find the probability of exactly 6 Mexican-Americans among 12 jurors. P(x = 6) = Find the probability of 6 or fewer Mexican-Americans among 12 jurors. P(r