**Survey on Stock Options in Compensation Packages**A survey conducted by the Segal Company of New York examined the use of stock options as part of non-cash compensation packages for board members across different company sizes. The survey included:- **Large Companies:** - Sample Size: 189 companies - Companies Offering Stock Options: 40- **Small-to-Mid-Sized Companies:** - Sample Size: 180 companies - Companies Offering Stock Options: 43**Table: Stock Options by Company Size**| Stock Options | Large | Small-to-Midsized ||---------------|-------|-------------------|| Yes | 40 | 43 || No | 149 | 137 |**Explanation of the Table:**The table presents data on whether companies provide stock options to their board members as part of their compensation packages.- The first column indicates the availability of stock options ("Yes" or "No").- The next two columns categorize the data based on company size (Large vs. Small-to-Midsized).- For large companies, out of 189 surveyed, 40 offered stock options, while 149 did not.- For small-to-midsized companies, out of 180 surveyed, 43 offered stock options, while 137 did not. a. If a company is selected at random, what is the probability that the company offered stock options to their board members?b. If a company is selected at random, what is the probability that the company is small-to-mid sized and did not offer stock options to their board members?c. If a company is selected at random, what is the probability that the company is small to mid-sized or offered stock options to their board member?

The probability that the randomly selected company offered stock options to their board members will…

A survey conducted by the Segal Company of New York found that in a sample of 189 large companies, 40 offered stock options to their board members as part of their non-cash compensation packages. For small-to-mid-sized companies, 43 of the 180 surveyed indicated that they offer stock options as part of their non-cash compensation packages to their board members. Company Size Stock Options Large Small-to-midsized Yes 40 43 No 149 137

A survey conducted by the Segal Company of New York found that in a sample of 189 large companies, 40 offered stock options to their board members as part of their non-cash compensation packages. For small-to-mid-sized companies, 43 of the 180 surveyed indicated that they offer stock options as part of their non-cash compensation packages to their board members. Company Size Stock Options Large Small-to-midsized Yes 40 43 No 149 137

MATLAB: An Introduction with Applications

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Author:Amos Gilat

Publisher:Amos Gilat

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

**Survey on Stock Options in Compensation Packages**

A survey conducted by the Segal Company of New York examined the use of stock options as part of non-cash compensation packages for board members across different company sizes. The survey included:

- **Large Companies:**
- Sample Size: 189 companies
- Companies Offering Stock Options: 40

- **Small-to-Mid-Sized Companies:**
- Sample Size: 180 companies
- Companies Offering Stock Options: 43

**Table: Stock Options by Company Size**

| Stock Options | Large | Small-to-Midsized |
|---------------|-------|-------------------|
| Yes | 40 | 43 |
| No | 149 | 137 |

**Explanation of the Table:**

The table presents data on whether companies provide stock options to their board members as part of their compensation packages.

- The first column indicates the availability of stock options ("Yes" or "No").
- The next two columns categorize the data based on company size (Large vs. Small-to-Midsized).
- For large companies, out of 189 surveyed, 40 offered stock options, while 149 did not.
- For small-to-midsized companies, out of 180 surveyed, 43 offered stock options, while 137 did not.

a. If a company is selected at random, what is the probability that the company offered stock options to their board members?

b. If a company is selected at random, what is the probability that the company is small-to-mid sized and did not offer stock options to their board members?

c. If a company is selected at random, what is the probability that the company is small to mid-sized or offered stock options to their board member?

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