The body of the boxplot consists of (a) the lower 50% of the data. (b) the upper 50% of the data. (c) the middle 50% of the data. (d) a random subset of 50% of the data. Which of the following boxplot has the smallest interquartile range (IQR)? How many of the following statements are true about the probabilities based on non-empty events A and B ? - P(A)0 and P(B)0. - P(AB)=P(A)+P(B) is always true. - If P(A)+P(B)=1, then P(B)=P(Ac). - Since P(A) and P(B) are probabilities, their sum satisfies 0P(A)+P(B)1. (a) 1 (b) 2 (c) 3 (d) 4 How many of the following statements are true about the conditional probabilities based on nonempty events A and B ? - P(AB)0 and P(BA)0. - P(AB)+P(BA)=1. - P(AB) is always equal to P(BA). - If P(AB) is not equal to P(A), then P(AB) must be equal to P(B). (a) 1 (b) 2 (c) 3 (d) 4 How many of the following statements are true about the probability mass function of a discrete random variable X ? - f(x)0 for all x. - f(x) represents P(X=x). - f(x) is a decreasing function. - f(x) sums to 1 (over all possible values of X ). (a) 1 (b) 2 (c) 3 (d) 4.