Sixty percent (60%) of Students of the Reginal College were took French. Fifteen (15) were randomly and independently sampled. Calculate the probability that at most 2 out of the 15 randomly selected students took French. [3] Of the 15 students, how many do you expect to take French. [1] 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 x 1 l 2 3 l 4 l 5 P(X=x) 0.41 | 0.34 0.13 l 0.07 | * Find the value of'*'. [1] Find the expected category of hurricane to make landfall, E{X). [2] What is the probability that a Category 4 or stronger hurricane will make landfall?[l] Calculate the variance. [3]