Solve all the following questions from chapter 4
:
1) If a dice is thrown up one time, what is the probability of
getting a number greater
than 2 or less than 5 ?
2) If two dice are thrown up once, what is the probability to get
total numbers less
than 8 or at most 5 ?
3) If a dice is thrown up one time, what is the probability of
getting an odd number
giving that the number is divided by 3 ?
4) If two dice are thrown up once, what is the probability to get
total numbers greater
than 11 if the second number is 5 ?
5) If A , B are two events , P(A) = 0.5 , P(B) = 0.2 , P(A and B) =
0.4 , find P(A or B)
6) If A , B are two independent events , P(A) = 0.24 , P(B) = 0.31
, Find P(A or B)
7) If A , B are two events , P(B) = 0.8 , P(A and B) = 0.5 , find
P(A \ B)
8) If A , B are two events , P(B) = 0.35 , P(A \ B) = 0.14 , find
P(A and B)
In: Statistics and Probability
Consider the following given information, determine the 3-year moving averages that would have been used to forecast the sales (in millions) for the years subsequent to each group of three years. Determine the forecast error associated with each forecast.
Year(t) 1993／ 1994 ／1995 ／1996 ／1997 ／1998 ／1999 ／2000
Profit Y(t) 0.9 ／ 1.1 ／1.2 ／ 1.3 ／ 1.4 ／ 1.5 ／ 1.6 ／ 1.7
You may create a table with below information.
Year ／ Sales in millions ／ 3-year Moving Forecast ／ Forecast error ／ Absolute error
b) In the below table, by using the actual level of sales for 1994 of 1.1 million dollars as the “seed” forecast for 1995, determine the forecast for each annual sales amount by the method of simple exponential smoothing. First use a smoothing constant of alpha = 0.8, then use a smoothing constant of alpha = 0.2, and compare the two sets of forecasts.
Year(t) 1993 /1994 /1995 /1996 /1997 /1998 /1999 /2000
Sales in millions Y(t) 0.9 /1.1 /1.5 /1.3 /1.1 /1.7 /1.9 /2.3
In: Statistics and Probability
Problem 4 ..... you can use Matlab
Using the same initial code fragment as in Problem 1, add code that calculates and plays y (n)=h(n)?x (n) where h(n) is the impulse response of an IIR bandstop filter with band edge frequencies 750 Hz and 850 Hz and based on a 4th order Butterworth prototype. Name your program p3.sce
the below is the Problem 1 initail code .. you can use it Matlab
The following cilab code generates a 10-second “chirp” with discrete frequencies ranging from 0 to 0.2 with a sampling frequency of 8 kHz.
clear; Fs = 8000; Nbits = 16; tMax = 10; N = Fs*tMax+1; f = linspace(0.0,0.2,N); x = zeros(f); phi = 0; for n=0:N-1 x(n+1) = 0.8*sin(phi); phi = phi+2*%pi*f(n+1); end sound(x,Fs,Nbits); sleep(10000); //allows full sound to play
In: Electrical Engineering
The following payoff table shows the profit for a decision problem with two states of nature and two decision alternatives:
| State of Nature | |||
| Decision Alternative | s1 | s2 | |
| d1 | 10 | 1 | |
| d2 | 7 | 3 | |
| (a) | Suppose P(s1)=0.2 and P(s2)=0.8. What is the best decision using the expected value approach? Round your answer in one decimal place. |
| The best decision is decision alternative (- Select your answer -d1 /d2) with an expected value of. | |
| (b) | Perform sensitivity analysis on the payoffs for decision alternative d1. Assume the probabilities are as given in part (a), and find the range of payoffs under states of nature s1 and s2 that will keep the solution found in part (a) optimal. Is the solution more sensitive to the payoff under state of nature s1 or s2? Round your answer in two decimal places. |
| The solution is more sensitive to (Select your answer -s1 / s2), as an increment of .......... for d1(s2) causes a break even between the decision alternatives, whereas it takes an increment of .......... , to provide the same effect for d1(s1). |
In: Statistics and Probability
Which of the following describes the change in current from the primary circuit to the secondary circuit of a step-up transformer? a. The current in the secondary circuit is less than the current in the primary circuit. b. The current in the secondary circuit is equal to the current in the primary circuit. c. The current in the secondary circuit is greater than the current in the primary circuit. d. none of the above
A step-up transformer is used to change the voltage produced by a generator from 30 kA to 300 kA. The amount of power produced after the voltage increase is 600 MW and the energy is then sent through a transmission line with a resistance of 0.2 W. How much power is lost in transmission? a. 1 MW b. 0.8 MW c. 0.4 MW d. 0.6 MW
What could happen during power transmission if the voltage is too high? a. There will not be enough current to travel through the wires. b. The magnetic field that is induced could interfere with satellite communications. c. It would be impossible to step down to a level for home usage. d. The energy could discharge through the air and to the ground.
thank you so much.
In: Physics
In: Finance
Write a javascript code to Create a function called
Hotel that takes Room no, Customer name. amount paid. Write a code
to call hotel function for each customer and display details of
customers lodging in rooms with even room numbers.
I need only js and html code. no css
pls take screenshot of output , else I might dislike
thanks
In: Computer Science
Which of the following solutions would have the highest vapor pressure.
| A) | 0.2 M MgCl2 |
| B) | 0.2 M NaCl |
| C) | 0.1 M KCl |
| D) | 0.2 M Na2CO3 |
| E) | 0.1 M MgCl2 |
In: Chemistry
Consider the case of a sheep farmer who lives next door to an African Safari theme park with dangerous lions. If the lions come in contact with the sheep, they kill them and eat them, costing the sheep farmer damages of $15,000. However, the theme park can build a fence around the lions for $6000. In the alternative, the sheep farmer can fence off his pasture for $8000. Assume that it costs the sheep farmer and the Safari park each $2000 to hire a lawyer if they have to negotiate an agreement between them. What is the efficient outcome here? Why? Suppose that the Safari Park is granted a right of free roaming so that it does not have to fence off its animals and is not liable for any damages they cause. What is the likely outcome now? Will the sheep farmer and the Safari negotiate? Why or why not? Now suppose that the cost of legal advice drops to $500 in part b). How does that change the likely outcome? Why? Assume the legal rule changes, so that the sheep farmer is granted right to safe grazing. If the Safari is held liable for damages to sheep, what is the likely outcome?
In: Economics
Suppose Tokyo is planning to construct a new public park. Based on some market research, they have determined that the town’s 50 residents can be divided into two types with respect to their benefit from this public good. 20 of the town’s residents are of Type 1 and the other 30 residents are of Type 2. Each resident's individual demand for acres of park space is given by:
Type 1: QD = 20 – P
Type 2: QD = 40 – 2P
a. Solve for the aggregate demand of Tokyo’s 50 residents as a function of the number of acres. Be sure to write down equations for each section of the aggregate demand curve, as well as the interval of quantities each section spans.
b. Graph the aggregate demand curve calculated in part a. Make sure to label both intercepts, slopes, and the intersection of the two sections.
c. Suppose each acre of public park has a marginal cost of MC = 200 + Q . Solve for the socially efficient number of acres for the town to construct.
d. Calculate the total surplus the 50 residents of Tokyo's gain from constructing this public park.
In: Economics