Problem #1 An Electronics firm employs 15 people whose yearly salaries (in hundred thousand of pesos) are as follows: 25.0 25.7 25.7 26.6 27.2 27.3 27.3 27.3 27.3 27.8 27.8 28.4 28.4 29.0 29.0 a) Let X be the yearly salary for any employee. Find the probability distribution of X. b) Find the Mean, Variance, and Standard Deviation of the probability distribution (Round your answer in nearest hundredths). c) Construct the probability histogram for the random variable X.

Problem 4.14. Suppose that a, b e Z, and that a, b + 0. Show that f(r, y) = ax + by is a Latin square.

Please help in answering the questions in the screenshot.

Placement Test Practice Problem 25

Question 28 A company manufactures two lines of bathtubs, called model A and model B. Every tub requires a certain amount of steel and zinc; the company has available a total of 25,000 pounds of steel and 6,000 pounds of zinc. Each model A bathtub requires a total of 125 pounds of steel and 20 pounds of zinc, and each yields a profit of $90. Each model B bathtub can be sold for a profit of $70; model B requires 100 pounds of steel and 30 pounds of zinc. Additionally, due to a space constraint the company can stock no more than 150 units of tub model A. Determine the binding constraint(s). Steel Space Steel and Zinc Zinc and Space Steel and Space to

Problem#1: Exercise and diet are being studied as possible substitutes for medication to lower blood pressure. Three groups of subjects will be used to study the effect of exercise. Group 1 is sedentary, while group 2 walks and group 3 swims for 1 hour a day. Half of each of the three exercise groups will be on a salt-free diet. An additional group of subjects will not exercise or restrict their salt, but will take the standard medication. Use Z for sedentary, W for walker, S for swimmer, Y for salt, N for no salt, M for medication, and F for medication free (a) Show all of the elements of the sample space S. (b) Given that A is the set of nonmedicated subjects and B is the set of walkers, list the elements of A ∪ B. (c) List the elements of A ∩ B.

Problem 8. Find a least square solution for the equation 2 (90-0 -1 3 = 4 5 1