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# solution - 1 P(neither subsystem fails 1 P(at least one...

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1. P(neither subsystem fails) 1 P(at least one fails) œ œ"Ö ×œ! Þ'& P(A fails) p(only B fails) 2. No. P(A and B) 0.4 P(A or B) , which is not possible. œ Ê œ !Þ(  !Þ)  !Þ% œ "Þ" 3. a) (0.25)(0.05) (0.35)(0.04) (0.4)(0.02) 0.0345  œ b) (0.35)(0.04) (0.25)(0.05) (0.35)(0.04) (0.4)(0.02) \$%& "%! œ 4. a) 2.006 1.96 . Do not reject H at the 5% level since 2 is inside the 95% !Þ!" * È 0 confidence iterval for . . b) The p-value is greater than 5% since H cannot be rejected at the 5% level. 0 c) p-value œ#TÐ^ Ñ #Þ!!'# !Þ!"Î * È d) Reject H at the 5% level if 1.96 , 0 kk \#  !Þ!" * È i.e., 1.96 or 1.96 . \#
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## This note was uploaded on 09/04/2010 for the course STAT 131 taught by Professor Isber during the Spring '08 term at Berkeley.

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