Consider a bowl with 6 red balls and 4 black balls. Consider an experiment where three (3) balls are to be selected from this bowl. Let Y represent the total number of red balls selected. If the three balls are selected without replacement, what is the probability distribution of Y? What are the mean and standard deviation of Y?

x p(x)x p(x)0 0.033333333310.320.53 0.1666666667 mean = summation of(xp(x))summation of x^2 p(x) 00.310.5 00.321.5 1.8= variance = summattion of x^2p(x)- mean^2sd = sqrt(variance)…