Consider the density function
{eq}f(y)=\left\{\begin{array}{cc} k \sqrt{y} & 0<y<4 \\ 0 & \text { elsewhere } \end{array}\right. {/eq}
Evaluate {eq}k {/eq}.
Question:
Consider the density function
{eq}f(y)=\left\{\begin{array}{cc} k \sqrt{y} & 0<y<4 \\ 0 & \text { elsewhere } \end{array}\right. {/eq}
Evaluate {eq}k {/eq}.
Probability Density Function:
For a continuous probability distribution, its probability density function (or pdf) shows us how the probabilities are distributed. To find the probability that the random variable has a value within an interval, we can integrate this probability density function over that interval. If we integrate this probability density function over its entire domain, it will equal 1.
Answer and Explanation: 1
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View this answerIn order for this to be a probability density function, {eq}\int_{-\infty}^{\infty} f(y) \ dy= 1 {/eq}. This means that we need to find the value of...
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Probability Density Function | Formula, Properties & Examples
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Chapter 22 / Lesson 8
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Learn to define a probability density function. Discover the probability density function formula. Learn how to find the probability density function. See examples.
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