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Two cards are drawn one after another with replacement from a well-shuffled standard deck of 52 cards. Let $X$ be the number of aces obtained. Find $P(X=1)+P(X=2)$.
$p=P(\text{ace})=\dfrac{4}{52}=\dfrac{1}{13}$, $q=\dfrac{12}{13}$. Binomial with $n=2$.
$P(X=1)=\binom{2}{1}\cdot\dfrac{1}{13}\cdot\dfrac{12}{13}=\dfrac{24}{169}$
$P(X=2)=\binom{2}{2}\cdot\left(\dfrac{1}{13}\right)^2=\dfrac{1}{169}$
$P(X=1)+P(X=2)=\dfrac{24}{169}+\dfrac{1}{169}=\dfrac{25}{169}$
In the context of 'getting results through others,' HRM helps managers:
HRM techniques help managers direct employee performance in desirable directions to achieve organizational objectives. Managers get things done through the efforts of others, which requires effective human resource management - not avoiding work, but enabling and directing others' work.
Management by Objectives (MBO) was introduced by Peter Drucker in his 1954 book The Practice of Management. MBO is a process where:
- Managers and employees jointly set specific, measurable objectives
- Performance is evaluated against these pre-set objectives
- Feedback and appraisal are systematic
In nursing management, MBO helps Head Nurses set clear performance targets for nursing staff, improving accountability and service quality. Other options: Frederick Taylor â Scientific Management; Maslow â Hierarchy of Needs; McGregor â Theory X and Y.
Which statement is true for an X-linked dominant trait?
Affected father (Xá´°Y) passes Xá´° to all daughters (who become affected) and Y to sons (unaffected). Affected mother (Xá´°Xáľ) passes Xá´° to half of sons and daughters.
Which of the following statements about marginal costing are correct?
- It assists in resource optimization when a limiting factor is present.
- It ensures decisions are based on the full absorption cost.
- It includes the apportionment of service department costs.
- It typically results in a lower inventory valuation compared to absorption costing.
Marginal costing focuses on variable costs (contribution), making it ideal for limiting factor analysis (1). Because it excludes fixed overheads from inventory, valuation is lower than absorption (4). Statements 2 and 3 refer to absorption costing.
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