Explanation Write the probability density function defined over ( − ∞ , ∞ ) . f ( x ) = { 2 x 3 x > 1 0 x ≤ 1 Write the condition when X is continuous random variable with a probability density function f . P ( c ≤ X ≤ d ) = ∫ c d f ( X ) d x Write the given expression in the above form

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ISBN: 9780134439099

Author: Hass, Joel., Heil, Christopher , WEIR, Maurice D.

Publisher: Pearson,

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Chapter 8.9, Problem 15E

To determine

Verify that the function f(x)={2x3 x>1 0 x≤1 over (−∞,∞), P(4≤X<9) is a probability density function for a continuous random variable X over the given interval and the specified probability.

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Chapter 8.9, Problem 14E

Chapter 8.9, Problem 16E

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Chapter 8 Solutions

Thomas' Calculus

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Verify that the function f ( x ) = { 2 x 3 x &gt; 1 0 x ≤ 1 over ( − ∞ , ∞ ) , P ( 4 ≤ X &lt; 9 ) is a probability density function for a continuous random variable X over the given interval and the specified probability.

Verify that the function f(x)={2x3 x>1 0 x≤1 over (−∞,∞), P(4≤X<9) is a probability density function for a continuous random variable X over the given interval and the specified probability.

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Chapter 8 Solutions

Verify that the function f ( x ) = { 2 x 3 x > 1 0 x ≤ 1 over ( − ∞ , ∞ ) , P ( 4 ≤ X < 9 ) is a probability density function for a continuous random variable X over the given interval and the specified probability.