Probability of Supporting Second International Airport: Binomial Distribution?

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Homework Statement




It is known that 40% of the adults support the idea of constructing a second International Airport for the country .A sample of 15 adults was questioned regarding this issue .
what is the probability of that no more that 6 in the sample support the idea ?




The Attempt at a Solution



I just want to know is this a binomial distribution where
n=15 and
p=0.4;

if so the answer should be
SIGMA( r goes 0 to 6 )15Cr * 0.4^(r) * 0.6^(r)

am i correct ??/if I'm wrong please help me out !Or if I'm' write confirm it thanks a lot!
 
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