e. Determine the probability distribution of the random variable​ X, the number of times the favorite finishes in the money in the next five races. List the possible values of x in ascending order.   x ​P(X=​x) 00 0.0010.001 11 0.0190.019 22 0.1050.105 33 0.2840.284 44 0.3830.383 55 0.2070.207 ​Use info above to help solve part f   f. Identify the probability distribution of X as right​ skewed, symmetric, or left skewed without consulting its probability distribution or drawing its probability histogram.   h. Use your answer from part​ (e) and the formulas for the mean and standard deviation of a discrete random variable to obtain the mean and standard deviation of the random variable X.   The mean of​ X, calculated using the discrete random variable​ formula, is (? )times. ​(Round to two decimal places as​ needed.)   The standard deviation of​ X, calculated using the discrete random variable​ formula, is (? ) times. (Round to two decimal places as​ needed.)

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.