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Among a group of 2500 people, 35 percent invest in municipal bonds, 18 percent invest in oil stocks, and 7 percent invest in both municipal bonds and oil stocks. If 1 person is to be randomly selected from 2500 people, what is the probability that the person selected will be one who invests in municipal bonds but not in oil stocks
Read Solution (Total 5)
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- 7/25 is the probability.
35 percent invests in municipal bonds.
It also includes 7% who invested in both municipal bonds and oil stocks.
So, 35-7 = 28% invests in municipal bonds but not in oil stocks
Therefore, probability = 28/100 = 7/25
7/25 is probability of person only invest in municipal bonds. - 12 years agoHelpfull: Yes(37) No(2)
- total no.of people = 2500
municipal bonds = 2500*35/100 = 875
oil stocks = 2500*18/100 = 450
municipal bonds and oil stocks(both) = 2500*7/100 = 175
We need only person who invests in municipal bonds
i.e., municipal bonds - both(X) = 875-175 = 700
The probability is = X/total = 700/2500 = 7/25 - 12 years agoHelpfull: Yes(31) No(0)
- investor in municipal =35*2500/100=875
so probability = 875/2500=0.35
investor in both= 7*2500/100= 175
so probability= 175/2500=0.07
hence for municipal only = .35-.07=.28 - 12 years agoHelpfull: Yes(7) No(2)
- total people = 2500
35% on n(m)= 35/100 * 2500 = 875 municipal bonds.
7% on n(m intersection o) = 7/100 * 2500 = 175 both.
we need only municipals = (875 - 175) = 600.
the propability, N(E)/N(S) = 600/2500 = 6/25 .. - 12 years agoHelpfull: Yes(2) No(13)
- 0.42 ans
35% of 2500 is 875
7% of 2500 is 175
18% of 2500 is 450
acc. to rule 1050/2500=0.42
- 12 years agoHelpfull: Yes(1) No(5)
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