Table 1 below shows the probability distribution of hurricanes that have made landfall in the Caribbean....

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Table 1 below shows the probability distribution of hurricanes that have made landfall in the Caribbean. The random variable, X, is the category of the hurricane. Category 1 is the weakest hurricane level while category 5 is the strongest. Table 1 3 0.13 1 P(X=x) 0.41 2 0.34 4 0.07 5 [1] [2] a) Find the value of ***. b) Find the expected category of hurricane to make landfall, E(X). c) What is the probability that a Category 4 or stronger hurricane will make landfall?[1] d) Calculate the variance. [3] Table 1 below shows the probability distribution of hurricanes that have made landfall in the Caribbean. The random variable, X, is the category of the hurricane. Category 1 is the weakest hurricane level while category 5 is the strongest. Table 1 3 0.13 1 P(X=x) 0.41 2 0.34 4 0.07 5 [1] [2] a) Find the value of ***. b) Find the expected category of hurricane to make landfall, E(X). c) What is the probability that a Category 4 or stronger hurricane will make landfall?[1] d) Calculate the variance. [3]

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a Find the value of The sum of all probabilities in a probability distribution must be equal to 1 Th... View the full answer