Stat Chapter6,7_Review - axis 2 Place P(r values on the...

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Jae Hwan Lee Stat 200 Review for continuing chapter *don’t forget explanations, units, and label the graphs Chapter6. The Binomial Probability Distribution and Related Topics Key Words & Definitions Discrete random variable Continuous random variable Probability distribution: is an assignment of probabilities to the specific values of a random or to a range of values of the random variable (sum of all assigned probabilities has to be 1) Equations & Procedures Mean of a discrete population probability μ = ( ) xP x μ is called the expected value Standard deviation of a discrete population probability σ = - ( ) x μ2P x Procedure to find mean and standard deviation of a discrete population probability X P(x) xP(x) x- μ - x μ2 - ( ) x μ2P x . . . . . . = ( ) μ xP x - ( ) x μ2P x Binomial probability distribution P(r out of n) = ! ! - ! n r n r - Prgn r = Cn,r - Prgn r Mean of a binomial distribution μ = np Standard deviation of a binomial distribution σ = ( - ) np 1 p How to graph a binomial distribution 1. Place r values on the horizontal
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Unformatted text preview: axis 2. Place P(r) values on the vertical axis Chapter7. Normal Curves and Sampling Distributions Key Words & Definitions Equations & Procedures Procedure to find Pr(a < x < b), when cont. var. x follows a normal distribution Step 1: Draw the normal curve for x. Then place given points μ , a, b on the x axis. Then shade the area above the points a & b Step 2: Convert continuous variable x in to continuous variable z by Step 3: Draw the normal curve for variable z and place 0, , on the z axis. Then shade the area above and Step 4: Find the shaded area in step3 by using table 3. The central limit theorem 1. If dist. of pop. x value is normal, then the dist. of the pop. value is normal. 2. If dist. of pop. x value is non-normal or unknown, then the dist. of the pop. of value in approx. normal. The approx. improves, as the sample size n increases. 3. 4. Jae Hwan Lee Stat 200 Review for continuing chapter...
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