Assume that there are 2 trials.X = 2 where X represents the number of successes.Which probability matches the probability histogram?Round the answer to one decimal place.P(success)=0.2P(success)=0.3P(success)=0.7P(success)=0.8

Answer:P(success)=0.2 matches the probability histogram.Step-by-step explanation:Formula : [tex]P(X)=^nC_r p^r(1-p)^{n-r}[/tex]Where X represents the number of successes.p represents probability of success .1-p represents probability of failure.Now when X= 0 the  probability is 0.64 (Using histogram )So, [tex]^2C_0 p^0(1-p)^{2}=0.64[/tex][tex](1-p)^{2}=0.64[/tex][tex](1-p)=\sqrt{0.64}[/tex][tex](1-p)=0.8[/tex][tex]1-0.8=p[/tex][tex]0.2=p[/tex]So, the probability of success = 0.2Hence P(success)=0.2 matches the probability histogram.