Probstat/week8 practice 1 - ประวัติรุ่นแก้ไข

Jittat: /* Expectation */

2014-10-07T03:26:04Z

Expectation

2014-10-07T03:25:44Z

Expectation

2014-10-07T03:24:31Z

Probability

2014-10-07T03:11:57Z

2014-10-07T03:07:40Z

Expectation

2014-10-07T03:07:03Z

Expectation

2014-10-07T03:04:17Z

Expectation

2014-10-07T03:04:06Z

Expectation

2014-10-07T02:46:27Z

Probability

2014-10-07T02:42:06Z

Probability

←รุ่นแก้ไขก่อนหน้า		รุ่นแก้ไขเมื่อ 03:26, 7 ตุลาคม 2557
แถว 91:		แถว 91:

	8. Find <math>\mathrm{E}[X^2]</math> and Var(<math>X</math>) for continuous random variable <math>X</math> defined in question 2 in the previous section.		8. Find <math>\mathrm{E}[X^2]</math> and Var(<math>X</math>) for continuous random variable <math>X</math> defined in question 2 in the previous section.
		+
		+	9. Find <math>\mathrm{E}[X^2]</math> and Var(<math>X</math>) for continuous random variable <math>X</math> defined in question 3 in the previous section.

←รุ่นแก้ไขก่อนหน้า		รุ่นแก้ไขเมื่อ 03:25, 7 ตุลาคม 2557
แถว 85:		แถว 85:
	<math>\int x e^{-x} dx = -e^{-x}(x+1) + C</math>		<math>\int x e^{-x} dx = -e^{-x}(x+1) + C</math>
	</center>		</center>
		+
		+	6. Find <math>\mathrm{E}[X]</math> for continuous random variable <math>X</math> defined in question 6 in the previous section.
		+
		+	7. Find <math>\mathrm{E}[X^2]</math> and Var(<math>X</math>) for continuous random variable <math>X</math> defined in question 1 in the previous section.
		+
		+	8. Find <math>\mathrm{E}[X^2]</math> and Var(<math>X</math>) for continuous random variable <math>X</math> defined in question 2 in the previous section.

@@ แถว 54: / แถว 54: @@
 <math>\int e^{-x} dx = -e^{-x} + C</math>
 </center>
 == Expectation ==

@@ แถว 48: / แถว 48: @@
 * 5.2 What is the probability that a computer will function between 50 and 100 hours before breaking down?
 * 5.3 What is the probability that it will function less than 100 hours?
 == Expectation ==

@@ แถว 64: / แถว 64: @@
 . Find <math>\mathrm{E}[X]</math> for continuous random variable <math>X</math> defined in question 4 in the previous section.
-Note that
+. Find <math>\mathrm{E}[X]</math> for continuous random variable <math>X</math> defined in question 5 in the previous section.
 <center>
 <math>\int x e^{-x} dx = -e^{-x}(x+1) + C</math>
 </center>

←รุ่นแก้ไขก่อนหน้า		รุ่นแก้ไขเมื่อ 03:07, 7 ตุลาคม 2557
แถว 63:		แถว 63:

	4. Find <math>\mathrm{E}[X]</math> for continuous random variable <math>X</math> defined in question 4 in the previous section.		4. Find <math>\mathrm{E}[X]</math> for continuous random variable <math>X</math> defined in question 4 in the previous section.
		+
		+	Note that
		+
		+	<center>
		+	<math>\int x e^{-x} dx = -e^{-x}(x+1) + C</math>
		+	</center>

@@ แถว 57: / แถว 57: @@
 . Find <math>\mathrm{E}[X]</math> for continuous random variable <math>X</math> defined in question 1 in the previous section.
 . Find <math>\mathrm{E}[X]</math> for continuous random variable <math>X</math> defined in question 2 in the previous section.
 . Find <math>\mathrm{E}[X]</math> for continuous random variable <math>X</math> defined in question 3 in the previous section.
 . Find <math>\mathrm{E}[X]</math> for continuous random variable <math>X</math> defined in question 4 in the previous section.

←รุ่นแก้ไขก่อนหน้า		รุ่นแก้ไขเมื่อ 03:04, 7 ตุลาคม 2557
แถว 55:		แถว 55:
	<math>\mathrm{E}[X] = \int_{-\infty}^{\infty} xf(x)dx</math>		<math>\mathrm{E}[X] = \int_{-\infty}^{\infty} xf(x)dx</math>
	</center>		</center>
		+
		+	1. Find <math>\mathrm{E}[X]</math> for continuous random variable <math>X</math> defined in question 1 in the previous section.
		+	2. Find <math>\mathrm{E}[X]</math> for continuous random variable <math>X</math> defined in question 2 in the previous section.
		+	3. Find <math>\mathrm{E}[X]</math> for continuous random variable <math>X</math> defined in question 3 in the previous section.
		+	4. Find <math>\mathrm{E}[X]</math> for continuous random variable <math>X</math> defined in question 4 in the previous section.

@@ แถว 34: / แถว 34: @@
 * 3.4 Plot <math>F(x)</math>
-. (FCP. Example 1b.)  The time (in hours) that a computer functions before breaking down is a continuous random variable <math>X</math> with probability density function given by
+. (FCP. Example 1a.) Suppose that ''X'' is a continuous random variable whose pdf is given by
 <center><math>f(x) = \left\{\begin{array}{ll}\lambda e^{-x/100} \ \ \  & x\geq 0\\ 0 & x < 0\end{array}\right.</math></center>
-* 4.1 Find the value of <math>\lambda</math>
+* 5.1 Find the value of <math>\lambda</math>
-* 4.2 What is the probability that a computer will function between 50 and 100 hours before breaking down?
+* 5.2 What is the probability that a computer will function between 50 and 100 hours before breaking down?
-* 4.3 What is the probability that it will function less than 100 hours?
+* 5.3 What is the probability that it will function less than 100 hours?
 == Expectation ==