a) Find the value of ‘*’ and Find the expected category of hurricane to make landfall, E(X).   What is the probability that a Category 4 or stronger hurricane will make landfall?Calculate the variance.

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a) Find the value of ‘*’ and Find the expected category of hurricane to make landfall, E(X). 
 What is the probability that a Category 4 or stronger hurricane will make landfall?Calculate the variance. 

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
*
Transcribed Image Text: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 *
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