SOLUTION: Data shows that 90% of the people in a certain population are right-handed. A group of 8 people from this population are selected at random. What is the probability that exactly 6

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Question 359460: Data shows that 90% of the people in a certain population are right-handed. A group of 8 people from this population are selected at random. What is the probability that exactly 6 of the people in the group are right-handed? and What is the probability that at least 6 of the people in the group are right-handed?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
P%28R%29=0.90
The assumption is that the choice is binary, right handed or left handed.
P%28L%29=0.10
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.
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P%286R%29=28%2A%280.9%29%5E6%2A%280.1%29%5E2=highlight%280.1488%29
.
.
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At least 6 means 6,7, and 8.
P%287R%29=8%2A%280.9%29%5E7%2A%280.1%29%5E1=0.3826
P%288R%29=1%2A%280.9%29%5E8%2A%280.1%29%5E0=0.4305
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P=P%286R%29%2BP%287R%29%2BP%288R%29=0.1488%2B0.3826%2B0.4305
highlight%28P=0.9619%29