Question:

- Fundamentals of mathematical probability: sample spaces; events; independence; conditional probability and Bayes' Theorem. Discrete and continuous distributions.

- Random variables: expectation; variance; sums and products.

- Fundamental distributions: uniform; normal; binomial, geometric, Poisson, exponential and their applications.

- The idea and applications of the central limit theorem.

please explain are these topics easy or hard in college level, what are the good resources to work with it ? thanks

Choose the best expression for expected returns. O Simple average of possible returns. O Geometric average of possible returns. O Simple average of probabilities. O Weighted average of possible returns. O Weighted average of probabilities Question 5 (0.4 points) Choose the best expression for standard deviation O weighted average of deviations O weighted average of possible returns O weighted average of squared deviations Onone of the above. () weighted average of squared possible returnsIQuestion Help A modified box-and-whisker plot is a box-and whisker plot that uses symbols to identify outliers. The horizontal line of a modified box-and-whisker plot extends as far as the minimum data entry that is not an outlier and the maximum data entry that is not an outlier. (a) Identity any outliers and (b) draw a modified box-and-whisker plot that represents the data set. 10 15 25 8 10 15 2 13 13 13 10 10 10 11 (a] Identify arry outliers. Select the correct choice below and. If necessary, fill in the answer box to complete your choice. O A. The outlions) is(are) (Type an integer of decimal. Use a comma to separate answers as needed.) O B. There are no outliers. (b) Choose the correct modified box-and-whisker plot below. OA. 10 20 30 10 20 19 20 30Answer is given below Standard Deluxe Total rooms rooms Average daily rate $238.25 $381.20 Variable cost $154.86 $221.10 Contribution $83.39 $160.10 Sales mix 60% 40% 100% Weighted Average daily rate 142.95 152.48 295.43 A Weighted average contribution margin $50.03 $64.04 $114.07 8 Weighted average contribution margin 38.61% A/B Break-even Room nights Fixed costs $152,480 1,337 Weighted average contribution margin $114.07 Standard Deluxe Total rooms rooms Sales mix 60% 40% 100% Room nights for Break even point 802 535 1,337 Room revenue for the hotel Revenue Fixed costs + Target Profit $202,480 $524,385 Weighted average contribution margin 38.61% Room revenue to be generated to cover this cost $12,949 Total Room revenue to cover advertising cost Revenue Fixed costs + Advertising cost $157,480 $407,843 Weighted average contribution margin 38.61% Existing sales to recover fixed cost Revenue Fixed cost $152,480 $394,894 Weighted average contribution margin 38.61%