Question:

A Scientist wishes to test the impact of four synthetic specialists on the time span of usability of a specific assortment of tomato. The tomatoes are conveyed in boxes, and one expects critical timeframe of realistic usability inconstancy between boxes. Recognize the exploratory units, reaction variable, factor(s), levels of each factor, and the quantity of medicines in this investigation. What kind of exploratory plan ought to be utilized? In the event that 24 examples of every treatment will be taken, yet each case just supplies 12 tomatoes, at that point how might the investigation be planned to kill the impact of box inconstancy?

Of all understudies at the University of Metropolis, the extents taking certain quantities of units are as demonstrated in the table beneath.

\16\

Units 3 4 5 6 7 8

Proportion 2% 4% 5% 7% 5% 4%

Units 9 10 11 12 13 14

Proportion 8% 11% 13% 13% 16% 12%

Track down the normal number of units that an understudy at U.M. takes. (Enter your response to two decimal spots.)

MTN Ghana wishes to get clients' perspectives on their fulfillment with the help they have gotten. The organization chooses to review guests who phone its call-focus, to acquire their perspectives. Clarify how you would utilize deliberate examining to choose an example of 100 guests over a six-day time frame from Monday to Saturday on the off chance that you realize that the rough number of calls is 400 every day. Disclose how to diminish inclination during the testing interaction by giving two explicit models

A PC lab in a school has 33 PCs. Every one of the 33 PCs has 90% unwavering quality. Taking into account 10% of the PCs to be down, a teacher

determines an enlistment roof of 30 for his group. Expect that a class of 30 understudies is

taken into the lab.

a. What is the likelihood that every one of the 30 understudies will get a PC in

working condition?

b. The educator is astonished to see the low estimation of the response to (a) and

chooses to improve it to at any rate 95% by doing one of the accompanying:

I. Diminishing the enlistment roof.

ii. Expanding the quantity of PCs in the lab.

iii. Expanding the dependability of the relative multitude of PC

0 (5pts) 20. Find a sequence of elementary matrices whose product is the given non-singular matrix: 2 4Consider a three-state continuous-time Markov chain in which the transition rates are given by Q = 0 0 A O O The states are labelled 1, 2 and 3. (a) Write down the transition matrix of the corresponding embedded Markov chain as well as the transition rates out of each of the three states. (b) Use the symmetry of Q to argue that this setting can be reduced to one with only 2 states. (c) Use the results of Problem 1 to solve the backward equations of this 3-state Markov chain. (d) Obtain the steady-state probabilities of this 3-state Markov chain in two different ways.A 3-state Markov chain has transition matrix 0.2 0.8 0 P: 0.2 0.5 0.3 0.2 0.6 0.2 If the initial state is X0 = (0, 0, 1) ,find X1 . Enter your answer as a row vector in the form (0.1,0.2,0.3) X1=I 6. A 3-state Markov chain has the following transition matrix: 0.6 0.3 0.17 P = 0.2 0.7 0.1 0.5 0 0.5 Using Xo = (0.6, 0.0, 0.4), find X1 and X2