construct a probability distribution and draw a graph for a family of 3 children. Let X represent the number of boys. Find the mean, variance, ad standard deviation for the distribution.
According to the given question, construct a probability distribution and draw a graph for a family of 3 children. Let X represents the number of boys. Therefore the x can be considering the following sample space:
Sample Space observation | X value |
GGG | 0 |
GGB,BGG,GBG | 1 |
GBB,BBG,BGB | 2 |
BBB | 3 |
Therefore total possible cases 8 and the corresponding probably (discrete) distribution a for a family of 3 children is as follows:
Number of boys (X) | 0 | 1 | 2 | 3 | Total |
Probability (X) | 1/8 | 3/8 | 3/8 | 1/8 | 1 |
The graph for a family of 3 children is as follows:
Mean=1.5, varaince =0.75 and standard deviation=0.866,...
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