Need help with probability and statistics work.
3. A common criticism of the LLS. Senate is that the age of the senators does not accurately reflect the current population. The mean age of the population of current senators is 63.6 years. The population standard deviation is 10.4 years {data from Wilol. In January 2021, the state of Georgia held run-off elections for both senate positions and both resulted in noteworthy, history-making outcomes. Jon Ossoff was swom into office a month before his 34th birthday and is the first person of Jewish descent elected as senator in Georgia. Rev. Raphael 1Warnock was 51 years old and is the rst African American elected as senator in Georgia . [CT and 3}. Round z-score two decimal places and probabilities four decimal places. a] What is the zscore that represents Dssoff's age of 34? Is it unusual? [4] b) What is the zscore that represents Warnock's age of 51? Is it unusual? {4] c] If you were to select one senator at random, what is the probability that they would be under the age of 55? (hint: find the zscore first!) [4] d) If you select 2G senators at random, what is the probability that they would be under the age of 55? (hint: note that you are picking 2G names this tin'rejI [4} e} Think about it: 13 current senators began serving as senators before the year 21301:]. Three are women, 1G are men, and all 13 are White. They have a mean age of T? and a sample standard deviation of ?.6. Given your ndings, would you recommend setting term limits? Why or why not? {4) Select one of the following (4a or 4b, do not do both}. Delete the question you are not going to answer. 4a. Research indicates that college student populations are at particular risk for heavy drinking, with members of fratemities and sororities at even greater risk. A team of researches interested in reducing alcohol-related problems in college fraternity members asked 159 members to report the number of drinks consumed on a type occasions (Larimer et, 2001]. The mean number of drinks reports was 4.93, with a standard deviation of 2.?3. Round all values to the hundreths. [C9]: a] Is this a tinterval or a zinterval? How do you know? {5} b) Construct the 95% condence intenral. Write as [low end, high end}. [10 points] c} Binge drinking is defined as drinking 5 or more drinks in single occasion {White :5: Hingson 2GB}. Should this fraternity take measures to educate their members about the dangers of binge drinking? Support your answer by referencing the intenral and the findings. {5]
