The current in a certain circuit as measured by an ammeter is a continuous random variable X with the following density function. What is P(X ≤ 4)? What is P(4.5 < X)?

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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The current in a certain circuit as measured by an ammeter is a continuous random variable X with the following density function.

What is P(X ≤ 4)?
What is P(4.5 < X)?
 
The function \( f(x) \) is defined piecewise as follows:

- For \( 3 \leq x \leq 5 \), \( f(x) = 0.05x + 0.3 \).
- Otherwise, \( f(x) = 0 \).

This piecewise function means that within the interval from 3 to 5 (inclusive), the function follows a linear equation \( 0.05x + 0.3 \). Outside this interval, the function is zero.
Transcribed Image Text:The function \( f(x) \) is defined piecewise as follows: - For \( 3 \leq x \leq 5 \), \( f(x) = 0.05x + 0.3 \). - Otherwise, \( f(x) = 0 \). This piecewise function means that within the interval from 3 to 5 (inclusive), the function follows a linear equation \( 0.05x + 0.3 \). Outside this interval, the function is zero.
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