Using the Formula for the Multinomial Distribution, the Probability Of X

question 72

Multiple Choice

Using the formula for the multinomial distribution, the probability of $X _ { 1 } = 2 , X _ { 2 } = 1 , X _ { 3 } = 2$ when $\mathrm { n } = 5$ , $\mathrm { p } _ { 1 } = 0.4 , \mathrm { p } _ { 2 } = 0.5 , \mathrm { p } _ { 3 } = 0.1$ is

• A) \(\{ 5 ! / ( 2 ! \times 1 ! \times 2 ! ) \} _ { 2 } \times 0.4 ^ { 2 } \times 0.5 ^ { 1 } \times 0.1 ^ { 2 }\)
• B) \(2 ! \times 1 ! \times 2 ! \times 0.4 ^ { 2 } \times 0.5 ^ { 1 } \times 0.1 ^ { 2 }\)
• C) \(5 ! \times 0.4 ^ { 2 } \times 0.5 ^ { 1 } \times 0.1 ^ { 2 }\)
• D) \(\{ 5 ! / ( 0.4 ! \times 0.5 ! \times 0.1 ! ) \} \times 2 ^ { 0.4 } \times 1 ^ { 0.5 } \times 2 ^ { 0.1 }\)

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Definitions:

Consequential Damages

Losses or damages that result not directly from a party's actions but rather from special circumstances not usually predictable, often considered indirect losses.

Resale of Goods

The act of selling an item that has previously been purchased from a vendor or manufacturer, typically involving goods that are sold in the same condition as they were acquired.

Obligated to Try

A duty or an agreement to make a good faith effort to achieve a stipulated outcome or perform a certain task.

Consequential Damages

Damages that arise not directly from a breach of contract but as a foreseeable result of the breach, such as lost profits or additional operational costs.