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julia and tony play and game rock paper scissor assume that at each play they make their choices with equal probability 1/3 for each of the three moves and dependently of any previous play








A.)on any single play,what is a chance of a tie







B.) What is the chance that Julia wins at the first play








Let Random variable x-rock







The probability distribution is shown below







C.)Find P(x=1)







D.)Find P(x≥1)








Find the value of the cosecant of an angle given that the point on the terminal side of an angle is (3,4)


Match each type of visualization with its corresponding purpose by selecting each tile and placing it in the table below.

Purpose Type of Visualization Comparison

Trend Evaluation

Distribution

Correlation

Part-to-whole


Types of visualization

line chart/area chart, bar chart, scatter plot/heatmap, histograms/box plots, and pie charts/tree map


Download historical daily stock price data for a few stocks from the Internet. Write down a purpose statement for creating a visualization to analyze this data. Then, create a good and a bad example of a viz addressing the purpose. The good viz should use the appropriate chart type; the poor viz should use an incorrect chart type. Describe why the different types are good or bad examples of achieving the visualization purpose.


For each of the following statements, illustrate the effect of each event on the market for red snapper fish and indicate the effects on the equilibrium price and quantity.


i. A surgeon general warns that high-cholesterol foods such as beef cause heart attacks. (3 marks)


ii. A new fishing wire reduces the time taken to harvest fish while at the same time there is a report that persons have developed food poisoning from consuming fish. (3 marks)


Imagine a dataset that pertains to an accounting or business decision. For the business decision, write four scenarios that require the computation of (1) a descriptive analytic, (2) a diagnostic analytic, (3) a predictive analytic, or (4) a prescriptive analytic. Indicate the analytic you would perform for each scenario.


The osmotic pressure of 250mL of an aqueous solution containing 0.150g of the enzyme lysozyme is found to be 0.0013atm at 24.850 Calculate the molar mass of lysozyme.

How many grams of Lactic acid (C6H10O5) should be dissolved in 650g of cyclohexane (C6H12) to raise the boiling point to 84.910C? The normal boiling point of cyclohexane is 810C and its molal boiling point is 2.75 0C/m.

You add 1 kg of ethylene glycol (C2H6O2) antifreeze to 4500g of H2O in your car’s radiator. What would be the freezing point of the solution?

A solution prepared by adding 10g of an unknown non-volatile, non-electrolyte solute to 150 g of water. The Boiling point of the solution is elevated by 0.433 0C above the normal boiling point of the solvent. What is the molar mass of the unknown substance?

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