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There are four cards in a pocket, and each of them is marked with 3 numbers. These numbers are 110, 101, 011, and 000. You draw a card randomly and let Ai (i = 1, 2, 3) represent the event that your card's ith digit is a 1. For example: A2 represents the event that the 2nd digit is a 1. (Please show your work.)
a) List the outcomes in A1. Find P(A1).
b) Find P(A1 U A2).
c) Find P(A2|A3).
d) Find P(A3 ? A1)
e) Is A1 independent from A2? (prove your answer mathematically)
f) Are A1, A2 and A3 pairwise independent? (prove your answer mathematically)
g) Are A1, A2 and A3 mutually independent? (prove your answer mathematically)
What is the probability that a randomly selected adult who is "certain" or has "little doubt" that God exists has no more than a high school education?
The analysis produces SS(within treatments) = 32, SS(between treatments) = 40, and SS(total) = 72. For this analysis, what is the MS(within treatments)?
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Overtime happens after eight hours of work on given day. Determine the probability that letter carrier works overtime on any given day?
1.there are two statistics classes. the first has 250 students and the second has 200 students. in the first class the
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