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**YOU ARE REQUIRED TO SHOW WORK FOR THIS QUESTION TO RECEIVE…

**YOU ARE REQUIRED TO SHOW WORK FOR THIS QUESTION TO RECEIVE CREDIT!** Suppose 28% of UNF students pull at least one all-nighter during finals week. A random sample of 50 UNF students was selected. (Round to 3 decimal places as needed)   a. Find the probability that exactly 9 of those sampled pull at least one all-nighter during finals week. [a] b. Find the probability that more than 15 of those sampled pull at least one all-nighter during finals week. [b] c. Find the probability that between 12 and 20, inclusive, of those sampled pull at least one all-nighter during finals week. [c] d. Find the expected number of UNF students who pull at least one all-nighter during finals week. [d]

**YOU ARE REQUIRED TO SHOW WORK FOR THIS QUESTION TO RECEIVE…

**YOU ARE REQUIRED TO SHOW WORK FOR THIS QUESTION TO RECEIVE CREDIT!** A researcher is interested if educational attainment (the number of years in higher education) can be used to predict annual salary (in $1000s). She randomly selects 8 individuals. (Round to 3 decimal places as needed)   Educational Attainment 0 5 5 4 8 3 2 3 Annual Salary (in $1000s) 58 110 75 50 125 50 97 41   a. Calculate the value of the correlation coefficient. [a]   b. Interpret the correlation coefficient: There is a [b] (strong/moderate/weak), [c] (positive/negative), [d] (linear/nonlinear) relationship between educational attainment and annual salary.   c. Give the least-squares regression equation: