Question 869277: A marksman can hit the center of a target with a probability of p = .4. Find the probability that out of 10 trials, the marksman can hit the center
a.Exactly 6 times
b.At most 3 times
c.Find the mean and standard deviation for this situation.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A marksman can hit the center of a target with a probability of p = .4. Find the probability that out of 10 trials, the marksman can hit the center
a.Exactly 6 times
P(x = 6) = 10C6*(0.4)^6*(0.6)^4 = binompdf(10,0.4,6) = 0.1115
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b.At most 3 times
P(0<= x <=3) = binomcdf(10,0.4,3) = 0.3823
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c.Find the mean and standard deviation for this situation.
mean = np = 10*0.4 = 4
std = sqrt(npq) = sqrt(4*0.6) = 1.5492
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Cheers,
Stan H.
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