Rude Drivers: Tailgating Do you tailgate the car in front of you? About 35% of all drivers will tailgate before passing, thinking they can make the car in front of them go faster (Source: Bernice Kanner, Are You Normal?,St. Martin's Press). Suppose that you are driving a considerable distance on a two-lane highway and are passed by 12 vehicles.(a) Let r be the number of vehicles that tailgate before passing. Make a histogram showing the probability distribution of r for r = 0 through r = 12.(b) Compute the expected number of vehicles out of 12 that will tailgate.(c) Compute the standard deviation of this distribution.

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a.Consider the two variables, High School GPA and Average Annual Earnings in Adulthood. Which isdependent?b. Describe the relationship between High School GPA and Average Annual Earnings in Adulthood. Is thecorrelation positive or negative? (Write at least two sentences.)c. Does a person’s High School GPA cause them to earn a certain salary in adulthood? Explain.

show work and why it might be negative if you get negative number please thank you

We are interested in looking at the effect of a baseball player’s free agent status on their salary. We look at 337 baseball players and categorize them as either having a high salary (above 2 million) or not, and as either being free agents or not. ------------------------------ You also wonder if having a high batting average affects the salary of baseball players. You classify all 370 baseball players as having a high batting average if it is over .300.   1. The given χ2test table gives many test statistics. The row we want to look at is labeled Pearson Chi-Square. Give the test statistic, the degrees of freedom, and the p-value. 2. At a significance level of .05, what can you conclude in the context of this problem?

Please help with these three parts. ? Thank you!

ind the number of successes x suggested by the given​ statement:   From a​ CNN/USA Today/Gallup​ poll: Among 1299   survey​ subjects, 13.7 ​% say that the opinion of a celebrity would influence their own opinion. x​ = nothing   ​(round off to a whole​ number)