Consider the following data: x 44 55 66 77 88 P(X=x)P(X=x) 0.30.3 0.20.2 0.20.2 0.10.1 0.20.2 Copy Data Step 1 of 5: Find the expected value E(X)E(X). R
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Consider the following data:
| x | 44 | 55 | 66 | 77 | 88 |
|---|---|---|---|---|---|
| P(X=x)P(X=x) | 0.30.3 | 0.20.2 | 0.20.2 | 0.10.1 | 0.20.2 |
Copy Data
Find the expected value E(X)E(X). Round your answer to one decimal place.
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- Year Returns X Y 116% 22% 2 30 31 3-23-28 4 11 12 5 10 22 Using the returns shown above, calculate the arithmetic average returns, the variances, and the standard deviations for X and Y. (Do not round intermediate calculations. Enter your average return and standard deviation answers as a percent rounded to 2 decimal places, e.g., 32.16. Enter your variance answers rounded to 5 decimal places, e.g., 16161.)Q4 A business manager determines that t months after production begins on a new product, the number of units produced will be P thousand,where P(t) =6?2 + 5? /(? + 1)2 production in the long run (i) A ruptured pipe in a North Sea oil rig produces a circular oil slick that is y meters thick at a distance x meters from the rupture.Turbulence makes it difficult to directly measure the thickness of the slick at the source (where x = 0),but for x > 0,it is found that y =0.5(x2 + 3x)/ x3 + x2 + 4x Required:a)Assuming the oil slick is continuously distributed,how thick would you expect it to be at the source?Find the expected value assuming the risk factor is 30 % and the interest rate 12%, if you will receive $20,000 one year from today.please show work
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