An Observed Frequency Distribution Is as Follows $\begin{array}{l|ccc}\text { Number of successes } & 0 & 1 & 2 \\\hline \text { Frequency } & 41 & 93 & 66\end{array}$

question 63

Essay

An observed frequency distribution is as follows: $\begin{array}{l|ccc}\text { Number of successes } & 0 & 1 & 2 \\\hline \text { Frequency } & 41 & 93 & 66\end{array}$

i) Assuming a binomial distribution with $\mathrm { n } = 2$ and $\mathrm { p } = 1 / 2$ , use the binomial formula to find the probability corresponding to each category of the table.
ii) Using the probabilities found in part (i), find the expected frequency for each category.
iii) Use a $0.05$ level of significance to test the claim that the observed frequencies fit a binomial distribution for which $n = 2$ and $p = 1 / 2$ .

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Definitions:

Discontinued Operations

Parts of a company's business that have been sold or otherwise disposed of, with their financial results reported separately from ongoing operations.

Cost of Goods Sold

The immediate expenses linked to the creation of a company's sold products, encompassing both the costs of materials and labor.

Net Sales

Total revenue from sales of goods or services, less returns, allowances for damaged goods, and discounts.

Operating Expense

Expenses incurred during normal business operations, such as rent, utilities, and payroll, excluding costs associated with the production of goods sold.