Verify that the functions are probability density functions for a continuous random variable X over the given

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Verify that the functions are probability density functions for a continuous random variable X over the given interval. Determine the specified probability.

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Thomas Calculus Early Transcendentals

ISBN: 9780321884077

13th Edition

Authors: Joel R Hass, Christopher E Heil, Maurice D Weir

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Question Posted: Apr 29, 2023 05:08 AM

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Verify that the functions are probability density functions for a continuous random variable X over the given

Question:

f(x): = sin 2TX π.χ2 over 200 1059' ∞). P(X < π/6)

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To verify that fx is a probability density function we need to check that it satisfies two conditions fx is nonnegative for all x in the given interval The integral of fx over the given interval is equal to 1 Lets first check the nonnegativity condition ...View the full answer

Thomas Calculus Early Transcendentals

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