Question Title

* 1. A project will generate profits of $100 (in thousands) with probability 0.5, $200 with probability 0.2, and $300 with probability 0.3. What is the expected profit (in thousands)?

Question Title

* 2. Suppose two fair dice are thrown. What is the probability that the numbers total 3?

Question Title

* 3. Suppose you discard every numbered card in a 52 card deck, leaving only four jacks, four queens, four kings, and four aces. If you draw 8 cards from the remaining deck, what is the probability that you will draw all the aces and kings?

Question Title

* 4. You work in a bottling plan and want to compute how many cans have too much or too little beverage. If the mean is 12 oz., the standard deviation is .1 oz., and volume follows a normal distribution, what proportion of cans will fall outside of a 11.8 to 12.2 oz. range? You may refer to the following table of
z-score critical values.

Question Title

* 5. You're implementing a drug test policy, and the test correctly identifies drug use in 99% of tested users, and returns a negative for 90% of nonusers. If 5% of applicants are users, what is the probability that an applicant with a negative drug test uses?

Question Title

* 6. What is the median of the following set of observations? (1, 2, 3, 4,10)

Question Title

* 7. What is the mode of the following set of observations? (1,2,3,4,10)

Question Title

* 8. What is the sample variance of the following set of observations? (1,2,3,4,10)

Question Title

* 9. What is the skewness of the following set of observations? (1,2,3,4,10)

Question Title

* 10. What is the correlation coefficient between the following data series? (1,2,3,4) and (5,6,7,6)

Question Title

* 11. If it takes 5 machines 5 minutes to make 5 widgets, how long would it take 100 machines to make 100 widgets?

Question Title

* 12. Consider the equation 6x^2-4x-2=0. The sum of the roots of this equation is:

Question Title

* 13. Consider the function f(x) = -x^2 + 9x - 18. At what value of x does f(x) assume its maximum value?

Question Title

* 14. KL Industries employs 100 workers. Blue collar workers are paid $1,200 per week and white collar workers are paid $2,000 per week. KL's weekly payroll is $168,000. How many white collar employees does KL have?

Question Title

* 15. The equation of the line passing through the points (0; 5) and (3; 14) may be written as:

Question Title

* 16. The function f(x) = x^3 + 2x^2 - x is concave for all numbers less than or equal to:

Question Title

* 17. If Island Paradise restaurant charges p dollars for dinner, customers will demand
a quantity q = 100 - 4p dinners per week. It costs the restaurant $8 to produce each dinner. To maximize the profit earned on dinner service, what price should the restaurant charge?

Question Title

* 18. When x = 5, the slope of the function f(x) = 33 + 2x + x^2 is _____.

Question Title

* 19. When x = 3, the second derivative of  f(x) = 3x^(-2) is _____.

Question Title

* 20. What is the derivative of x^3+3x^2+x?

T