Probability Ch 4 - Part II

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

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1 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

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2 Uniform Probability Distribution Uniform Probability Distribution Pdf H= ? Hint: Area under curve = 1 P(a X b) =
3 Random Number Generator Random Number Generator Uniform distribution [0,1] H= P(a X b)= Excel: Rand function

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4 Triangle Probability Function Triangle Probability Function Pdf H = P(a X b)=
5 NORMAL POPULATIONS NORMAL POPULATIONS Relative frequency Variable

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6 RATIONALE RATIONALE Many of the inferential statistics processes we will discuss require certain assumptions about the histogram of the sampled population.
7 The smoothed histogram for a normal population looks like this: Relative frequency Variable

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8 No population has a histogram that is exactly this shape, but this model is used to represent many real populations.
9 EXAMPLES OF NORMAL EXAMPLES OF NORMAL POPULATIONS POPULATIONS Heights IQ scores Measurement error of a bathroom scale

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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
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