Probability Ch 4 - Part II

Probability Ch 4 - Part II - Continuous Probability Dist...

Info iconThis preview shows pages 1–11. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Continuous Probability Dist. Continuous Probability Dist. ❖ Continuous random variable ❖ P(X=a) approximately zero ❖ P(a X b)= ❖ f(x) is the probability density function (pdf)_ ❖ Area under the curve Uniform Probability Distribution Uniform Probability Distribution ❖ Pdf ❖ H= ? ❖ Hint: Area under curve = 1 ❖ P(a X b) = Random Number Generator Random Number Generator ❖ Uniform distribution [0,1] ❖ H= ❖ P(a X b)= ❖ Excel: Rand function Triangle Probability Function Triangle Probability Function ❖ Pdf ❖ H = ❖ P(a X b)= NORMAL POPULATIONS NORMAL POPULATIONS Relative frequency Variable RATIONALE RATIONALE ❖ Many of the inferential statistics processes we will discuss require certain assumptions about the histogram of the sampled population. ❖ The smoothed histogram for a normal population looks like this: Relative frequency Variable ❖ No population has a histogram that is exactly this shape, but this model is used to represent many real populations. EXAMPLES OF NORMAL EXAMPLES OF NORMAL POPULATIONS POPULATIONS ❖ Heights ❖ IQ scores ❖ Measurement error of a bathroom scale 10 Calculus scores Calculus scores Class interval Frequency Relative frequency 40 to 45 10 0.004 45 to 50 22 0.008 50 to 55 58 0.022 55 to 60 150 0.058 60 to 65 246 0.095 65 to 70 341 0.131 70 to 75 464 0.178 75 to 80 449 0.173 80 to 85 370 0.142 85 to 90 260 0.100 90 to 95 151 0.058 95 to 100 79 0.030 Total 2600 1.000 11...
View Full Document

This note was uploaded on 03/16/2009 for the course ECN 211 taught by Professor Kingston during the Spring '08 term at ASU.

Page1 / 30

Probability Ch 4 - Part II - Continuous Probability Dist...

This preview shows document pages 1 - 11. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online