Expected Frequency (Leaving Cert Mathematics): Flashcards

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Expected Frequency
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Expected frequency definition

Predicts how often an event should occur based on theoretical probability

Expected frequency formula

Probability×Total trials\text{Probability} \times \text{Total trials}

Step 1: Calculate expected frequency

Determine the probability of the event

Step 2: Calculate expected frequency

Identify the total number of trials

Step 3: Calculate expected frequency

Multiply probability by total trials

Common uses of expected frequency

Hypothesis testing and chi-squared test

Probability of heads (fair coin)

0.50.5

Expected heads in 100 coin tosses

0.5×100=500.5 \times 100 = 50

Probability of rolling a 4 (six-sided die)

16\frac{1}{6}

Expected 4s in 120 die rolls

16×120=20\frac{1}{6} \times 120 = 20

Expected red light runners (30% prob, 500 vehicles)

0.3×500=1500.3 \times 500 = 150

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