Sncr - 8325 7 7 Find P-1 35< z< 1 35 P-1 35< z< 1 35 = P-1 35< z< 0 P(0< z< 1 35 = P(0< z< 1 35 P(0< z< 1 35 = 2 P(0<

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Rules for the Standard Normal Curve October 6, 2005 1 .P (0 <z<k )=P r o b .a t k from table 2 .P ( k 1 <z<k 2 )= P (0 <z<k 2 ) - P (0 <z<k 1 ) 3 .P ( z>k )= P ( z> 0) - P (0 <z<k ) , =0 . 5 - P (0 <z<k ) 4 .P ( z<k )= P (0 <z<k )+ P ( z< 0) , = P (0 <z<k )+0 . 5 5 .P ( - k<z< 0) = P (0 <z<k )S e eR u l e1 6 .P ( - k 1 <z<k 2 )= P ( - k 1 <z< 0) + P (0 <z<k 2 ) , = P (0 <z<k 1 )+ P (0 <z<k 2 ) 7 .P ( - k<z<k )= P ( - k<z< 0) + P (0 <z<k ) , = P (0 <z<k )+ P (0 <z<k )=2 P (0 <z<k ) 8 .P ( z< - k )= P ( z>k )S e eR u l e3 . 9 .P ( - k 1 <z< - k 2 )= P ( k 2 <z<k 1 )S e eR u l e2 . 10 .P (
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Examples to Accompany Rules 1. Find P (0 <z< 1 . 37). P (0 <z< 1 . 37) = 0 . 4147 2
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2. Find P (1 . 28 <z< 2 . 46). P (1 . 28 <z< 2 . 46) = P (0 <z< 2 . 46) - P (0 <z< 1 . 28) , =0 . 4931 - 0 . 3997 = 0 . 0934 . 3
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3. Find P ( z> 2 . 50). P ( z> 2 . 50) = P ( z> 0) - P (0 <z< 2 . 50) , =0 . 5 - 0 . 4938 = 0 . 0062 . 4
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4. Find P ( z< 0 . 83). P ( z< 0 . 83) = P (0 <z< 0 . 83) + P ( z< 0) , =0 . 2967 + 0 . 5=0 . 7967 . 5
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5. Find P ( - 1 . 78 <z< 0). P ( - 1 . 78 <z< 0) = P (0 <z< 1 . 78) , =0 . 4625 . 6
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6. Find P ( - 2 . 21 <z< 1 . 02). P ( - 2 . 21 <z< 1 . 02) = P ( - 2 . 21 <z< 0) + P (0 <z< 1 . 02) , = P (0 <z< 2 . 21) + P (0 <z< 1 . 02) , =0 . 4864 + 0 . 3461 = 0
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Unformatted text preview: . 8325 . 7 7. Find P (-1 . 35 < z < 1 . 35). P (-1 . 35 < z < 1 . 35) = P (-1 . 35 < z < 0) + P (0 < z < 1 . 35) , = P (0 < z < 1 . 35) + P (0 < z < 1 . 35) = 2 P (0 < z < 1 . 35) , = 2(0 . 4115) = 0 . 8230 . 8 8. Find P ( z <-. 93). P ( z <-. 93) = P ( z > . 93) , = P ( z > 0)-P (0 < z < . 93) , = 0 . 5-. 3238 = 0 . 1762 . 9 9. Find P (-1 . 25 < z <-. 77). P (-1 . 25 < z <-. 77) = P (0 . 77 < z < 1 . 25) , = P (0 < z < 1 . 25)-P (0 < z < . 77) , = 0 . 3944-. 2794 = 0 . 1150 . 10 10. Find P ( z >-2 . 64). P ( z >-2 . 64) = P (-2 . 64 < z < 0) + P ( z > 0) , = P (0 < z < 2 . 64) + 0 . 5 , = 0 . 4959 + 0 . 5 = 0 . 9959 . 11...
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This note was uploaded on 07/24/2011 for the course MATH 3309 taught by Professor Wendall during the Spring '11 term at Hobart and William Smith Colleges.

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Sncr - 8325 7 7 Find P-1 35< z< 1 35 P-1 35< z< 1 35 = P-1 35< z< 0 P(0< z< 1 35 = P(0< z< 1 35 P(0< z< 1 35 = 2 P(0<

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