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A test paper has 5 questions, each with three answer choices of which only one is correct. What is the probability that a student scoring purely by guessing gets 4 or more questions right?
This is a binomial distribution with $n=5$, $p=\dfrac{1}{3}$ (correct), $q=\dfrac{2}{3}$ (wrong).
$P(X \geq 4) = P(X=4) + P(X=5)$
$P(X=4) = \binom{5}{4}\left(\dfrac{1}{3}\right)^4\left(\dfrac{2}{3}\right)^1 = 5 \cdot \dfrac{1}{81} \cdot \dfrac{2}{3} = \dfrac{10}{243}$
$P(X=5) = \binom{5}{5}\left(\dfrac{1}{3}\right)^5 = \dfrac{1}{243}$
$P(X \geq 4) = \dfrac{10}{243} + \dfrac{1}{243} = \dfrac{11}{243} = \dfrac{11}{3^5}$
The text suggests that increased complexity of the manager's job stems from:
- Foreign competition
- New technology
- Expanding scientific information
- Rapid change
Management has become increasingly complex and demanding for all four reasons: foreign competition, new technology, expanding scientific information, and rapid change. This complexity leads organizations to ask HR managers for assistance in strategic decisions.
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KCl must NEVER be administered via IV push โ it can cause fatal cardiac arrest. During KCl infusion, the critical monitoring parameter is urine output (renal function).
Safe KCl infusion requires:
- Urine output \\geq 30 \\text{ mL/hr} โ confirms kidneys can excrete excess potassium
- Urine output < 25โ30 mL/hr indicates oliguria โ STOP infusion immediately (risk of fatal hyperkalemia)
- Maximum peripheral infusion rate: 10 \\text{ mEq/hr}
- Maximum concentration peripherally: 40 mEq/L
- Never administer undiluted KCl
Signs of KCl toxicity/hyperkalemia: peaked T-waves, widened QRS, bradycardia, cardiac arrest. As a Charge Nurse, monitoring IV KCl infusions is a major patient safety responsibility.
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