Start with a pair (male and female) of newly-born rabbits. Assume the following: i) it takes exactly one month for the rabbits to mature, and able to mate by then; ii) the gestation period for a female rabbit is exactly one month; iii) upon reaching maturity, a female rabbit is able to produce a pair (male and female) every month; and iv) female rabbits do not die and are biologically reproductive during their entire life; How many pairs of rabbits are present seven (7) months after? 21 13 8 O O

A library subscribes to two different weekly news magazines, each of which is supposed to arrive in Wednesday's mail. In actuality, each one may arrive on Wednesday, Thursday, Friday, or Saturday. Suppose the two arrive independently of one another, and for each one P(Wed.) = 0.22, P(Thurs.) = 0.37, P(Fri.) = 0.19, and P(Sat.) = 0.22. Let Y= the number of days beyond Wednesday that it takes for both magazines to arrive (so possible Y values are 0, 1, 2, or 3). Compute the pmf of Y. [Hint: There are 16 possible outcomes; Y(W,W) = 0, Y(F,Th) = 2, and so on.] (Enter your answers to four decimal places.) 0 Y P(Y)

Suppose that a DJ has two (2) turntables and one (1) microphone. If the failure rate of a single turntable is 2% and the failure rate of a microphone is 1.5%, what is the probability that none of the DJ's equipment fails at a show? A game consists of rolling two die and adding the two numbers. Let E be the event "the sum is 4, 5, or 6" and F be the event "the sum is even". Are the events E and F independent? Briefly explain your answer. Three percent of the circuits produced by a machine are defective. What is the probability that a box of 20 circuits contains two or more defective circuits? An insurance company determines that the probability a person files a claim in the next 18. year is %8. If a group of 10 policy holders is chosen at random, what is the probability that none of them file a claim in the next year?

out nd TP Smes (C knowle ability c (PQuestion 2 California Instruments, Ic., produces 3,000 computer chips per day. Three hundred are tested for a period of (500 operating hours each. During the test, six failed: two after 50 hours, two at 100 hours, one at 300 hours, and one at 400 hours. Find failures per number tested and failures per operating time. If 300 of these chips are used in building a mainframe computer, how many failures of the computer can be expected per month? tion of er bility is a r rescribed Suppos- as i

In a gambling game, I roll two dice and win $1 if the sum of my two rolls is largerthan 7. I lose $1 if the sum of my two rolls is smaller than 7. In any other cases, Idon’t lose or win anything. I am going to repeat this game 72 times.  c) Now make a box model for the number of times I win, including the values onthe tickets, the number of repeats of each ticket, and how many draws we willmake with replacement from the box.     The average of the tickets in the box from (c) is ___________ and the SD is___________.

. A sequence of resistors or other components wired into a circuit one after the other?

4) Female bees have two parents, one male and one female. Male bees have only one female parent. How many grandparents does a male bee have?

Assume that there are 70 students: 36 who enjoy tennis, and 13 who enjoy swimming but not tennis. (1) How many students enjoy both sports? (2) How many students enjoy neither sport?

A tire company wants to determine if tires made with a new type of tread will last longer than tires made with the original type of tread. The company decides to put tires with the new tread on 10 different vehicles and tires with the original tread on 10 different vehicles. "New” is written on one slip of paper and "Original” is written on another slip of paper. The two slips are placed in a bag and thoroughly mixed. A vehicle is selected and a slip is drawn. The corresponding tread of tires is assigned to the vehicle. The slip is put back into the bag and mixed. The next vehicle is selected and a slip is drawn. The corresponding tread is assigned to the vehicle. This procedure continues until all 20 vehicles have been assigned tires of the new or original types of tread. Does this procedure describe a completely randomized design for this experiment? Yes, the tires are randomly assigned to each vehicle. Yes, there are two treatments, new and original treads. No, even though…

an automobile that was tested for production defects, but assume that the number of production defects is  31  and that  14  of these are classified as major defects,  15  are classified as design defects, and  10  were neither major defects nor design defects. How many of the design defects were major?