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 24

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 $\mathrm { n } = 2$ and $\mathrm { p } = 1 / 2$ .

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Definitions:

Price Decreases

A reduction in the cost at which goods and services are sold, typically influencing demand.

Marginal Utility

The additional satisfaction or utility a consumer gains from consuming one more unit of a good or service.

Video Game Rental

A service that allows consumers to borrow video games for a limited period of time for a fee.

Total Utility

The total satisfaction a product yields.