Suppose the regression line for the number of runs scored in a season, y , is given by ˆy=−790+5400x , where x is the team's batting average. For a team with a batting average of 0.235, find the expected number of runs scored in a season. Round your answer to the nearest whole number. If we can expect the number of runs scored in a season is 400, then what is the assumed team's batting average? Round your answer to three decimal places.

Finally, the arena decides to offer advertising space on the jerseys of the arena’s own amateur volley ball team. the arena wants the probability of being shortlisted to be 0.14. what is this as a percentage and a fraction? what is the probability of not being shortlisted? give your answer as a decimal. those shortlisted are entered into a final game of chance. there are six balls in a bag (2 blue balls, 2 green balls and 2 golden balls). to win, a company needs to take out two golden balls. the first ball is not replaced. what is the probability of any company winning advertising space on their volley ball team jerseys?