Organisms are present in ballast water discharged from a ship according to a Poisson process with an average concentration of 10 organisms/m3. (a) Suppose a sample of 1.5 m of discharge is taken, and let X be the number of organisms in this sample. What is E[X]? (b) What is the probability that X is less than its mean value by more than one standard deviation? (c) For what amount of discharge would the probability of containing at least 1 organism be .999?

option a.

step-by-step explanation:

if you look closely at the graph, we can notice that the function is not defined at two different points.

if you look at functions b and c, you will notice that both functions are not defined at just one point. the function b is not defined at x= -5/2 and function c is not defined at x=-5. both options are discarded, given that our function should not be defined at two fiferent points.

now, if you look closely at the graph you will notice that the function sketched is not defined at x=5 and x=-2.

the correct answer is 5 6 and 7

final total: 63

step-by-step explanation:

60 times sales tax

60 times 0.05

3

60 + 3

63