Signals and Systems P2-2 A discrete-time signal a[n] is shown in Figure P2.3. 12 -3-2-1 0 1 2 3 4 5 Figure P2.3 + n Sketch and carefully label each of the following signals: (i) x[n- 21 (ii) x[4-n] (iii) x[2n] (b) What difficulty arises when we try to define a signal as x[n/2]?
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![Signals and Systems
P2-2
A discrete-time signal a[n] is shown in Figure P2.3.
x[n]
12
-3-2-1 0 1 2 3 4 5
Figure P2.3
+
n
Sketch and carefully label each of the following signals:
(i) x[n- 21
(ii)
x[4-n]
(iii) x[2n]
(b) What difficulty arises when we try to define a signal as x[n/2]?
P2-1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8728aee7-89a8-4622-85c7-8867d7660ec0%2F836992dc-5852-431c-8a0c-909d6056bc9e%2Fzfdomhc_processed.jpeg&w=3840&q=75)
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- CONDITIONAL AND MARGINAL PROBABILITY - Statistics and probability } 1) In a plant, complex components are assembled on two different assembly lines, A and B. Line A uses older equipment than B, so it is a bit slower and less reliable. Suppose that on a given day line A assembles 8 components, of which 2 have been identified as defective (D) and 6 as non-defective (ND), while B has produced 1 defective and 9 non-defective components. . a) What is the probability that, when selecting a component at random, a defective one will come out? b) If the selected component is defective, what is the probability that it has left line A? What is the probability that it came out of line B?Phase I of a Clinical Trial A clinical test on humans of a new drug is normally done in three phases. Phase I is conducted with a relatively small number of healthy volunteers. For example, a phase I test of bexarotene involved only 14 subjects. Assume that we want to treat 14 healthy humans with this new drug and we have 16 suitable volunteers available. a. If the subjects are selected and treated in sequence , so that the trial is discontinued if anyone displays adverse effects, how many different sequential arrangements are possible if 14 people are selected from the 16 that are available? b. If 14 subjects are selected from the 16 that are available, and the 14 selected subjects are all treated at the same time, how many different treatment groups are possible? c. If 14 subjects are randomly selected and treated at the same time, what is the probability of selecting the 14 youngest subjects?Environment-friendly agricultural practice includes the application of pesticides when it is really necessary, e.g., at the beginning of a pest emergence. Such practice, depending on the field conditions, and the reaction of growers, for the same level of “alert”, inspired this question.Assume that in the middle of the growing season in a given area, there is one pest emergence every two weeks on average. There is a generalized emergence of pests in a given area. At this stage of the emergence, not all growers decide to apply pesticides, hoping that the emergence will be brief or without implication for their field. Accordingly, assume 75% of the growers in that area at that time decide to apply pesticides. a) What is the probability that among five growers randomly sampled, two decide not to apply pesticides? b) What is the probability that among 10 randomly sampled growers, more than nine decide to apply pesticides?
- Digi-Key is a large distributor (but not manufacturer) of electronic components. They receive shipments of components from manufacturers and sell them on to other manufacturers, consumers, and hobbyists. An electrical fuse is generally a small device meant to protect other electrical components from damaging surges of electrical current. Suppose Digi-Key receives shipments of a particular fuse in boxes of 20,000 fuses. The manufacturer of this fuse claims that just 1 out of every 100 fuses is defective. Digi-Key draws 50 fuses randomly from each box and tests them using an error-free method. If it finds 2 or more defective fuses in its sample of 50 fuses, it sends that box back to the manufacturer and gets a replacement box. (Because there are 20,000 fuses in a box--much bigger than 50--you may treat this as if it is sampling with replacement even though it is not really.) Compute the probability that Digi-Key sends a box back to the manufacturer if the manufacturer's claim (that…Which of the following is NOT a common reason for drawing a sample? 1. Studying the sample is less time consuming than studying the whole population. 2. Collecting data from a sample is less costly than collecting data from the whole population. 3. A sample always provides a good representation for the population. 4. Handling a sample is less cumbersome and more practical than handling the whole population. 5. Sometimes a data collection process is destructive to the populationOn-Time Performance by Airlines According to the Bureau of Transportation statistics, on-time performance by the airlines is described as follows: Action % of time On time 70.8 National Aviation System delay 8.2 Aircraft arriving late 9.0 Other (because of weather andother conditions) 12.0 Records of 200 flights for a major airline company showed that 148 planes were on time;24 were delayed because of weather, 8 because of a National Aviation System delay, and the rest because of arriving late. At =α0.05, do these results differ from the government's statistics? Part: 0 / 5 0 of 5 Parts Complete Part 1 of 5 Identify the claim with the correct hypothesis. H0: On-time performance by airlines is distributed as follows: 70. 8% on-time,8.2% National Aviation System delay, 9.0% aircraft arriving late, and 12.0% other. ▼(Choose one) H1 : The distribution is not the same as stated in the null hypothesis. ▼(Choose…
- Groups: 1 = 5-25 years, 2 = 26-59 Years, 3= 60-92 Years. What does Tukey’s HSD testing reveal about Group 1? Group of answer choices: 1. Group 1 has significantly higher FIQ than Group 2 2. Group 1 has significantly higher FIQ than Groups 2 or 3 3. Group 1 has significantly higher FIQ than Group 2 but does not differ in FIQ from Group 3 3. Group 1 does not differ in FIQ from Group 2 but has significantly lower FIQ than Group 3 4. None of the above What does Tukey’s HSD testing reveal about Group 2? Group of answer choices: 1. Group 2 does not differ in FIQ from Group 1 but has significantly lower FIQ than Group 3 2. Group 2 has significantly higher FIQ than Group 1 but does not differ in FIQ from Group 3 3. Group 2 does not differ in FIQ from Groups 1 or 3 4. Group 2 has significantly higher FIQ than Group 1 5. Group 2 has significantly higher FIQ than Groups 1 or 3 6. None of the above What does Tukey’s HSD testing reveal about Group 3? Group of answer…Sunshine Manufacturing produces three products: X, Y, Z. The production of these end items is controlled by an MRP system. Each end item X is assembled with two components of A and one component of B. Each end item of Y is assembled with two components of C and one component of A. End item Z is assembled from one unit of D and one unit of C; D is manufactured from one unit of A; and C is manufactured from one unit of B. Use the information in the case study above. If item C has a manufacturing lead time of three weeks, and a planned receipt of 130 units is needed in week 4, which of the following statements is TRUE? A. The gross requirements for item B in week 2 is 65 units. B. The planned order release in week 2 for item C is 130 units. C. The gross requirements for item B in week 4 is 65 units. D. The gross requirements for item B in week 1 is 130homogenous DE 3udv-vdv-udu-vdu=0
- What can you conclude about Group 2? Group of answer choices: 1. Group 2 does not differ in FIQ from Groups 1 or 3 2. Group 2 has significantly lower FIQ than Group 1 3. Group 2 has significantly higher FIQ than Groups 1 or 3 4. Group 2 has significantly lower FIQ than Group 1 but does not differ in FIQ from Group 3 5. None of the above What can you conclude about Group 3? Group of answer choices: 1. Group 3 has significantly higher FIQ than Group 1 2. Group 3 has significantly lower FIQ than Groups 1 or 2 3. Group 3 has significantly higher FIQ than Group 2 but does not differ in FIQ from Group 1 4. Group 3 does not differ in FIQ from Groups 1 or 2 5. None of the aboveQ4. In simulation study of a manufacturing system, both the average daily production rates obtained from simulation model (use data from day n1/2 to day n2/2, round it to nearest integer) and from the real system are given, in data set 3. - n1= 27.6. n2=97.6 - Apply t test to decide if we can assume the simulation model is a valid representation of the real system is given. - Check if we can assume the average daily production rates obtained from simulation in successive days are independent by using scatter diagram (X Y plot in excel; X axis Xi value Y axis Xi+1)How to solve this using Microsoft Excel Use alpha of 0.05 2 tail. Free Association (in seconds) Partially Controlled (in seconds)5.84 4.844.64 5.643.56 8.565.00 7.002.35 4.353.67 4.677.87 6.677.74 5.444.48 5.586.56 6.26
