The CEO of a local investment firm has asked you to forecast rates of return (as %'s) for the stock prices of two Seattle-area bakeries - Tiny French Bakery and Raining Donuts. You construct the following joint probability distribution for the rates of return for the stock prices of the two firms: (The values in the body of the table are intersection/joint probabilities) Rate of Return (%) Values Tiny French Bakery -15% -7% 2% Raining Donuts -5% 0.07 0.05 0.13 -10% 0.11 0.09 0.1 5% 0.07 0.26 0.12 If the rate of return of Raining Donuts is negative, what is the probability the rate of return for Tiny French Bakery is positive? (SHOW WORK;

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**Calculating Probabilities for Rates of Return: An Analysis**

The CEO of a local investment firm has tasked you with forecasting rates of return (expressed as percentages) for the stock prices of two Seattle-area bakeries—Tiny French Bakery and Raining Donuts. The following joint probability distribution outlines the rates of return for the stock prices of these two firms. (The values inside the table represent intersection/joint probabilities.)

|                   | **Raining Donuts**   |                  |
|-------------------|----------------------|------------------|
| **Rate of Return (%) Values** | -10%             | -5%              | 5%               |
| **Tiny French Bakery**  | | |
| -15%              | 0.11             | 0.07             | 0.07            |
| -7%               | 0.09             | 0.05             | 0.26            |
| 2%                | 0.1              | 0.13             | 0.12            |

**Problem Statement:**

If the rate of return for Raining Donuts is negative, what is the probability that the rate of return for Tiny French Bakery is positive? Please show the work involved in this calculation.
Transcribed Image Text:**Calculating Probabilities for Rates of Return: An Analysis** The CEO of a local investment firm has tasked you with forecasting rates of return (expressed as percentages) for the stock prices of two Seattle-area bakeries—Tiny French Bakery and Raining Donuts. The following joint probability distribution outlines the rates of return for the stock prices of these two firms. (The values inside the table represent intersection/joint probabilities.) | | **Raining Donuts** | | |-------------------|----------------------|------------------| | **Rate of Return (%) Values** | -10% | -5% | 5% | | **Tiny French Bakery** | | | | -15% | 0.11 | 0.07 | 0.07 | | -7% | 0.09 | 0.05 | 0.26 | | 2% | 0.1 | 0.13 | 0.12 | **Problem Statement:** If the rate of return for Raining Donuts is negative, what is the probability that the rate of return for Tiny French Bakery is positive? Please show the work involved in this calculation.
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