The probability distribution of X, the number of imperfections per 10 meters of a synthetic fabric in continuous rolls of uniform width, is given ascol1 x 0 1 2 3 4 col2 f(x) 0.41 0.37 0.16 0.05 0.01 Find the average number of imperfections per 10 meters of this fabric.

E(X) = 0.88

Explanation:

The average number of imperfections to be determined is the expected value of the random variable X.

E(X) = Σxf(x)

           X

Of which f is the probability distribution of the random variable X.

Thus, the needed value is:

E(X) = Σxf(x)

            X

        = 4

           Σxf(x)

           X_0

  = 0 . f (0) +  1 . f (1) +  2 . f (2) +  

            3 . f (3) +  4 . f (4)

        = 0 . 0.41 + 1 . 0.37 + 2 . 0.16 +

              3 . 0.05 + 4 . 0.01

       =  0.88

    E(X) = 0.88

answer: decrease

a limiting factor is the one which decrease the abundance, distribution and causes extinction of the population of species in a ecosystem. here, predators including hawks, owls and snakes are the limiting factor for the population of mexican free tailed bat.   although bats are nocturnal animals as they forge for food at night these predators also may remain active during night which can decrease the population of the mexican free-tailed bats. also, these bats eat only one type of insects that are moths. the food can also be a limiting factor as all 400 members are dependent upon same type of food needs that are moths. the decrease in the moth population can cause decrease in population size of the mexican free-tailed bats.

therefore, the scenarios will most likely to decrease the population size of the mexican free-tailed bats.  

the answer is: metamorphic rocks often show the presence of fossils, also a

hope i

-lavira: )