An important part of the customer-service responsibilities of a telephone company relate to the speed with which troubles in residential service can be repaired. Suppose that past data indicate that the likelihood is 0.70 that troubles in residential service can be repaired on the same day. If a sample of 100 troubles is selected, what is the probability that the proportion repaired on the same day is

(a) between 0.70 and 0.75?
(b) at least 0.70?
(c) between 0.60 and 0.80?
(d) What would be your answers to (a)-(c) if n = 50?

At school there are 526 students and 263 are girls about how likely is it that a randomly chosen student will be a boy

Lorenzo ate 2/5 of his bag of almonds. his 4 friends ate equal shares of the remaining bag of almonds?

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