Just 0.1% of the people in a specific populace have a specific illness (an occurrence pace of .001). Of the individuals who have the sickness, 90% test positive when a specific symptomatic test is applied. Of the individuals who don't have the infection, 90% test negative when the test is applied. Assume that a person from this populace is haphazardly chosen and given the test.

Utilize the overall duplication rule to ascertain P (has sickness AND positive test) and P (no infection AND positive test).

Compute P (positive test) and P (negative test).

Ascertain P (has sickness | positive test). Does the outcome astound you? Give a natural clarification for why this likelihood is little.

For quite a long time, the medication Vioxx, created and

promoted by Merck, was one of the blockbuster

drugs available. One of various

purported Cox-2 mitigating drugs, Vioxx

was considered by numerous individuals a supernatural occurrence drug for

easing the agony from joint inflammation and other difficult

torments. Vioxx was advertised vigorously on TV,

recommended by most doctors, and utilized by an

assessed 2,000,000 Americans.

The entirety of that changed in October 2004, when the

consequences of an enormous report were delivered. The examination,

which followed around 2600 subjects over

a time of around year and a half, reasoned that Vioxx

use throughout an extensive stretch of time caused a huge

expansion in the danger of creating genuine heart

issues. Merck very quickly pulled Vioxx

from the American market and specialists halted

recommending it. Based on the examination, Merck confronted

public humiliation as well as the possibility of

gigantic monetary misfortunes.

All the more explicitly, the investigation had 1287 patients

use Vioxx for a 18-month time span, and it had

another 1299 patients utilize a fake treatment over the equivalent

enough said. Following year and a half, 45 of the Vioxx patients

had created genuine heart issues, though as it were

25 patients on the fake treatment grew such issues.

Given these outcomes, would you concur with the

decision that Vioxx caused a critical increment

in the danger of creating genuine heart issues?

In the first place, answer this from an absolutely measurable mark of

see, where huge methods measurably critical.

What theory should you test, and how might

you run the test? At the point when you run the test, what is

the relating p-esteem? Then, take a gander at it from the

perspective of patients. On the off chance that you were a Vioxx client,

would these outcomes cause you critical concern?

All things considered, a portion of the subjects who took fake treatments

likewise created heart issues, and 45 probably won't be

thought about that amount bigger than 25. At last, look

at it from Merck's perspective. Are the outcomes

essentially important to the organization? What does it

remain to lose? Foster a gauge, regardless of how

wild it very well may be, of the monetary misfortunes Merck may

bring about. Simply think about those American Vioxx clients

also, what they may do.

Atsi shows up at a rail route station at an arbitrary time. It is a speculative world and henceforth prepares show up precisely on schedule and the time between two progressive trains is by and large 10 minutes. Atsi will pause and take the following train that shows up on the station after his appearance. Given that the time that Atsi shows up is consistently irregular and the trains show up 24 hours every day,

1. What is the interim in minutes that Atsi should trust that the following train will show up? What is the dispersion of the holding up season of Atsi?

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2. What is the likelihood that Atsi should stand by in any event 3 additional minutes on the off chance that he has effectively been hanging tight for 6 minutes?

3. In reality, after the appearance of a train, the time until the following train

shows up is a dramatic irregular variable with a mean of 10 minutes. Atsi

shows up at the station not realizing how some time in the past the past train had

come. What is the normal time he should trust that the following train will show up?

What is the appropriation of Atsi's holding up time?

foundation

Karin has attempted to heat for a birthday celebration with a confounded companion. In the companion's kitchen there is preparing for 4 unique sorts of biscuits {M1, ... .. M4}, preparing for 7 diverse arranging glasses {G1, ... , G7}, coconut drops, and game where clover 2 and clover 3 have been traded for hearts 4 and hearts 5 from another deck of cards, two void bundles of 2 and 4 dl that can be utilized as estimating spoons and an enormous three-sided tear dish.

Undertakings

Skopning

For a cluster of biscuit hitter (which would then be able to be seasoned in an unexpected way), 22 dl caster sugar is required.

In what ways would you be able to get this amount of sugar together utilizing the accessible scoops? (We are keen on the number of scoops of every one to take.)

If one somehow managed to make a 10 times as enormous clump, from multiple points of view would the sugar go until it gets together?

While gathering up the sugar, it isn't important to initially utilize one scoop until you are finished with it and afterward proceed with the other. You can change. From multiple points of view can the distinctive scoop numbers in issue 1 be scooped up?15?

On the off chance that, as in the past task, you are keen on how the "scoops" go up to that point, you can put on which you can gather up n dl sugar pleasantly depictions with a recursive number arrangement. Set up a succession that can change the manner in which you gather up n dl of sugar.

Show that your recursive grouping offers a similar response as the computation in issue 3 for 22 dl of sugar

4. Let E(x, y) be statement "animal species x might eat animal species y," where the domain consists of animal species in the world. Use quantifiers to express each of the following: (a) [5 points] There are no animals that eat lions. (b) [5 points] There is an animal that every other animal would eat. (c) [5 points] Any animal that would eat a goat would eat a sheep as well.1. Input signal X = {-5, 5} is sent via a noisy communication channel (variance of noise is not known). If we know that SNR is 30 dB, what is the value of the variance of the noise? 2. Input signal X = {-5, 5} is sent via a noisy communication channel (variance of noise is known to be 0.1). What is the resulting SNR (in dB)? 3. Derive an expression for probability of a bit error in terms of E[N']. Given input signal X = {-5, 5} is sent via a noisy communication channel (variance of noise is not known). 4. Derive an expression for probability of a bit error in terms of SNR. 5. Given that SNR is 12 dB, find the probability of a bit error. 6. Find SNR (in dB) given that probability of a bit error is known to be 0.001.1. (60 points) a. A 22 KHz baseband channel is used by a digital transmission system. Suppose ideal pulses are sent at the Nyquist rate, and the pulses can take 1024 levels. There is no noise in the system. What is the bit rate of this system? Justify your answer. b. Suppose that multi-level square pulses are used in a digital transmission system, and the maximum pulse amplitude is $1.1V. Suppose that the amplitude of the additive noise is uniformly distributed between (-0.1V, +0.2V). What is the maximum number of levels of pulses this transmission system can use before the noise may start introducing errors? Justify your answer. c. Consider a noisy AWGN (Additive White Gaussian Noise) communication channel with a bandwidth of 12 KHz. Is it possible to transmit reliably over this channel at a bit rate of 150 Kbps with an SNR (Signal to Noise Ratio) of 35 dB? Justify your answer.1. WM 01 N10\" What is the difference between descriptive and inferential statistics? . Dene the analytical notion of metrics. . Suppose the speed limits in thirteen countries in miles per hour are as follows: Country Highway Miles per Hour 1. Italy 87 2. France 82 3. Hungary 75 4. Belgium 75 5. Portugal 75 6. Great Britain 70 7. Spain 62 8. Denmark 62 9. Netherlands 62 1 0. Greece 62 1 1. Japan 62 12. Norway 56 1 3 . Turkey 56 What is the mean, median, and mode for these data? Feel ee to use your computer (statistical software or spreadsheet) to get the answer.Which is the best measure of central tendency for these observations? Prepare a frequency distribution for the data in Question 3. . Why is the standard deviation rather than the average deviation typically used? . Calculate the standard deviation for the data in Question 3. . Draw three distributions that have the same mean value but dif- ferent standard deviation values. Draw three distributions that have the same standard deviation value but different mean values. . A smartphone manufacturer surveyed 100 retail phone outlets in each of the rm's sales regions.An analyst noticed that in the South Atlantic region the average retail price was $165 (mean) and the standard deviation was 330. However, in the Mid- Atlantic region the mean price was $170, with a standard devia- tion of $15.What do these statistics tell us about these two sales regions