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Can you help me to understand the answer to this question?
Question: Among companies doing highway/bridge construction. 81% test employees for substance abuse. A study involves the random selection of 8 companies.
a) Find the probability that at least half (4 or more) of the companies test for substance abuse.
answer:
X P(x)
0 .000002
1 .000058
2 .000864
3 .007369
4 .039269
5 .133929
6 .285480
7 .347787
8 .185302
= .99171
My teacher gave us the answer key and I don't understand how he got the values in the table. Can anyone explain that to me?
1 Answer
- 9 years agoFavorite Answer
The values in the table are from the Binomial Distribution.
X ~ Bin(8,0.81) because there are 8 trials (n=8) with the probability of 81% of success in each (p=.81).
The probabilities in the table are from P(x) = (nCx)*p^x*(1-p)^(n-x)
Where nCx is n!/x!(n-x)!