Provide an Appropriate Response in N Independent Trials, the Probability Of Only

question 130

Multiple Choice

Provide an appropriate response.
-The binomial distribution applies only to cases involving two types of outcomes, whereas the multinomial distribution involves more than two categories. Suppose we have three types of mutually exclusive outcomes
Denoted by A, B, and C $\text { Let } \mathrm { P } ( \mathrm { A } ) = \mathrm { p } _ { 1 } , \mathrm { P } ( \mathrm { B } ) = \mathrm { p } _ { 2 } , \mathrm { P } ( \mathrm { C } ) = \mathrm { p } _ { 3 }$ . In n independent trials, the probability of $\mathrm { X } _ { 1 }$ outcomes of type A, $X 2$ outcomes of type B, and $X3$ outcomes of type C is given by $\frac { \mathrm { n } ! } { \left( \mathrm { x } _ { 1 } \right) ! \left( \mathrm { x } _ { 2 } \right) ! \left( \mathrm { x } _ { 3 } \right) ! } \cdot \mathrm { p } ^ { \mathrm { x } } 1 \cdot \mathrm { p } ^ { \mathrm { x } _ { 2 } } \cdot \mathrm { p } _ { 3 } ^ { \mathrm { x } _ { 3 } }$ A genetics experiment involves four mutually exclusive genotypes identified as A, B, C, and D, and they are all
Equally likely. If 10 offspring are tested, find the probability of getting exactly 2 A's,3 B's,3 C's, and 2 D's by
Expanding the above expression so that it applies to four types of outcomes instead of only three. Round your
Answer to five decimal places.

• A) 0.00601
• B) 0.04807
• C) 0.09613
• D) 0.02403

Assess the influence of external actors, including interest groups, committee staffers, and executive agencies, on Congress.

Understand the importance of cognitive processes in operant conditioning.

Recognize the role of latent learning in behavior without immediate reinforcement.

Identify the mechanisms and examples of classical conditioning.

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Definitions:

Iodoethane

An organoiodine compound with the formula C2H5I, used as an alkylating agent in organic synthesis.

Ethoxide

Ethoxide refers to the anion or salt derived from ethanol, typically found in reactions as a strong base or nucleophile.

Iodobutane

An organoiodine compound with the formula C4H9I, used in organic synthesis as a source of iodide.

Major Organic Product

The primary product formed in the largest quantity during an organic chemical reaction, often the focus of synthesis efforts.