Practice Midterm 2

Practice Midterm 2 - Practice Midterm 2 Sections Covered:...

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Practice Midterm 2 Sections Covered: 5.5, Ch 6-8 (skip 6.3, 7.7) Formulas: ݔҧ ൌ σ ݔ ݊ ݏ σሺݔ െ ݔҧሻ ݊െͳ If X is a Poisson( P ) RV: P(X=k)= P P ୩Ǩ , E(X)= P , Var(X)= P If X is a Uniform(a, b), then f(x) = ௕ି௔ ݂݋ݎ ܽ ൑ ݔ ൑ ܾ ˈ and µ = E[X] = ௔ା௕ , ߪ ൌܸܽݎሺܺሻൌ ሺ௕ି௔ሻ ଵଶ Z-Transformation: ܼൌ ௢௕௦௘௥௩௘ௗି௠௘௔௡ ௦௧Ǥௗ௘௩Ǥ ǡ ܼ ൌ ௑ି ఓ ǡ ܼ ൌ ௫ҧି ఓ ξ௡ ǡ ܼ ൌ ௣ҧି௣ ೛ሺభష೛ሻ CLT: 1. If n 30 then ܺ is Normal with mean = ߤ and st. dev. = ξ௡ 2 . I f np 5 and n(1-p) 5 then ݌ҧ is Normal with mean = p and st. dev. = ௣ሺଵି௣ሻ Fact: If you start with a Normal Population, then ܺ is always Normally Distributed with mean = ߤ and st. dev. = ξ௡ Confidence Intervals: ݔҧ ି ܼ ξ௡ ݔҧ ି ݐ ௡ିଵǡ ξ௡ ݌ҧ ି ܼ ௣ҧሺଵି௣ҧሻ Minimum Sample Size: ݊ൌ ሺ ௓ഀ ݊ൌ ሺ௓ഀ כ ሺଵି௣ כ
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1. Bob and Evie are enthusiastic pet owners, but are unlucky when it comes to goldfish. Pet store owners know that the probability that a goldfish living for more than two weeks is 0.32.
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This note was uploaded on 11/20/2011 for the course PSTAT 5E taught by Professor Eduardomontoya during the Fall '08 term at UCSB.

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Practice Midterm 2 - Practice Midterm 2 Sections Covered:...

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