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Consider the probability density curve plotted below: Find P(X <= 21):1∣ Find P(X > 14) : Epter anineeger or decimal number (more.]

Consider the probability density curve plotted below:\newlineFind P(X≤21):1∣ P(X \leq 21): 1 \mid \newlineFind P(X>14) : Epter anineeger or decimal number (more.]

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Full solution

Q. Consider the probability density curve plotted below:\newlineFind P(X≤21):1∣ P(X \leq 21): 1 \mid \newlineFind P(X>14) P(X>14) : Epter anineeger or decimal number (more.]
  1. Identify Area for P(X≤21)P(X \leq 21): Step 11: Identify the area under the curve from the start of the curve to x=21x = 21 for P(X≤21)P(X \leq 21).
  2. Calculate Area Using PDF: Step 22: Calculate the area using the given probability density function. Assume the curve is a simple shape like a triangle or rectangle for easy calculation.
  3. Subtract Area for P(X > 14): Step 33: For P(X > 14), subtract the area from the start of the curve to x=14x = 14 from the total area under the curve.
  4. Find Remaining Area: Step 44: Use basic arithmetic to find the remaining area, which represents P(X > 14).

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