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AGENDA: DG 20 --- 10 minutes Finish Section 8.1 B egin Section 8.2

AGENDA: DG 20 --- 10 minutes Finish Section 8.1 B egin Section 8.2. Advanced Placement Statistics Section 8.1 (Part II): Mean, Variance, and Standard Deviation for a Binomial Random Variable.

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AGENDA: DG 20 --- 10 minutes Finish Section 8.1 B egin Section 8.2

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  1. AGENDA: DG 20 --- 10 minutes Finish Section 8.1 Begin Section 8.2

  2. Advanced Placement Statistics Section 8.1 (Part II): Mean, Variance, and Standard Deviation for a Binomial Random Variable EQ: How do you calculate the mean, variance, and standard deviation for a binomial random variable?

  3. Refer back to the Section 8.1 Ex Handout on the President’s Physical Fitness test to answer #1 - 3. Calculate the mean, variance and standard deviation, respectively, of this probability distribution.

  4. NOTE: This is not a %, it is a count of adults!! 2. a. What are the values for the parameters? n= ______ p = _______ q= _____ 0.9 0.1 4 How does it compare to ? (4)(.1) = 0.4 b. Find np. (4)(.1)(.9) = 0.36 • Find npq.

  5. FORMULAS TO KNOW: • For a binomial random variable, SEE FORMULA SHEET:

  6. RECALL:NORMAL DISTRIBUTION .4 , .6 -1.4 -.8 -.2 .4 1.0 1.6 2.2 b. The Empirical Rule states approximately 95% of the x values lie within ­­­­____ standard deviations 2

  7. 1.6 -.8 This occurs from ___ to __ on your density curve. d. Since X cannot be negative, we would expect (in the long run), a large majority (95%) of the adults (out of groups of four) who pass the fitness test to be between _______ and _____. 0 1.6

  8. Normal Approximation Binomial Distribution If: n is large enough implies • n and p satisfy np>10 and n(1 – p) >10

  9. In Class Assignment: • p. 529- 530 #22, 23

  10. Assignment : • WS Mean, Variance and Standard Deviation forBinomial Random Variable

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