Mathematics, 26.11.2019 23:31 shamika109p61p5s
The probability density function for a random variable x is given by f(x) = x 18 , 0 < x < 6. use this pdf to find the following probabilities. (hint: draw the pdf and remember that probability = area.) a. find p(x < 1). (4 points) b. find p(x > 4). (6 poin
Answers: 1
![P(X4) = \displaystyle\int^{\infty}_4 f(x) dx\\\\P(X4) = \displaystyle\int^{6}_4 \frac{x}{18} dx\\\\= \frac{1}{18}\displaystyle\int_{4}^6 x~ dx = \frac{1}{18}\Big[\frac{x^2}{2}\Big]^6_4\\\\= \frac{1}{18}\Big(\frac{36}{2}-\frac{16}{2}\Big) = \frac{1}{36}\Big(10\Big) = \frac{10}{18} = 0.5556](/tpl/images/0392/2421/0f521.png)
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The probability density function for a random variable x is given by f(x) = x 18 , 0 < x < 6...
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