Agovernment entity sets a food defect action level (fdal) for the various foreign substances that inevitably end up in the foods we eat. the fdal level for insect filth in peanut butter is 0.7 insect fragment (larvae, eggs, body parts, and so on) per gram. suppose that a supply of peanut butter contains 0.7 insect fragment per gram. compute the probability that the number of insect fragments in a 6-gram sample of peanut butter is(a) exactly two. interpret the results.(b) fewer than two. interpret the results.(c) at least two. interpret the results.(d) at least one. interpret the results.

Asystem of linear equations with more equations than unknowns is sometimes called an overdetermined system. can such a system be consistent? illustrate your answer with a specific system of three equations in two unknowns. choose the correct answer below. a. yes, overdetermined systems can be consistent. for example, the system of equations below is consistent because it has the solution nothing. (type an ordered pair.) x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 6 b. no, overdetermined systems cannot be consistent because there are fewer free variables than equations. for example, the system of equations below has no solution. x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 12 c. yes, overdetermined systems can be consistent. for example, the system of equations below is consistent because it has the solution nothing. (type an ordered pair.) x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 8 d. no, overdetermined systems cannot be consistent because there are no free variables. for example, the system of equations below has no solution. x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 24