SOLUTION: A set of 7 fair coins was tossed 259 times and the frequency of throws
observed were as follows:
Number of Heads : 0 1 2 3 4 5 6 7
Frequency of throws : 3 7 23 62 63 53 37 11
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Question 1188968: A set of 7 fair coins was tossed 259 times and the frequency of throws
observed were as follows:
Number of Heads : 0 1 2 3 4 5 6 7
Frequency of throws : 3 7 23 62 63 53 37 11
Fit a binomial distribution and find mean and standard deviation of fitted
distribution.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
the mean is 4.073 heads
-
np=mean, so 4.073/7=0.5819 probability
sd is sqrt(V)=sqrt(4.073*0.4181)=1.304
So it is B(h)~(7, 0.5819)
-
0 heads 0.4181^7*259=0.58
1 head 7*0.4181^6*0.5819*259=5.64
2 heads 21*0.4181^5*0.5819^2*259=23.53
3: 35*0.4181^4*0.5819^3*259=54.58
4: 35*0.4181^3*0.5819^4*259=75.96
5: 21*0.4181^2*0.5819^5*259=63.43
6: 7*0.4181*0.5819^6*259=29.43
7: 0.5819^7*259=5.85
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