SOLUTION: at a shopping mall, 40% of the shoppers are willing to take a survey. estimate the probability that out of the next 5 random shoppers, there will be 3 or more in a row willing to t

Question 1122242: at a shopping mall, 40% of the shoppers are willing to take a survey. estimate the probability that out of the next 5 random shoppers, there will be 3 or more in a row willing to take the survey?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
YYYNN
NYYYN
NNYYY
YYYYN
NYYYY
YNYYY
YYYNY
YYYYY
Each one has two possibilities, so there are 32 choices in all, 2^5.
for three of these, the probability is 3*0.4^3*0.6^2=0.0691
for four of these, the probability is 4*0.4^4*0.6=0.0614
for five of these, the probability is 0.4^5=0.0102
The sum is 0.1407 ANSWER
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