Discrete Probability Distributions/Binomial Distributions
Question 02
Match the given graph with the correct probability. The histograms each represent binomial distributions. Each distribution has the same number of trials n but different probabilities of success p.]]>
3.0000000
0.3333333
0
true
]]>
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
p = 0.75
]]>
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
p = 0.50
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
p = 0.25
]]>