Controlling the water hyacinth. Refer to the Annals of the Entomological Society of America (Jan. 2005) study of the number of insect eggs, x, on a blade of water hyacinth, presented in Exercise 4.28

(p. 221). The probability distribution for x is reproduced in the accompanying table. Find the mean of the probability distribution for x, and interpret its value.

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Number of eggs, x 1 2 p(x) .40 .54 .02 3w 4 .04