Q1 Getting Confident with Confidence Intervals Our blood oxygen level is becoming increasingly important to us as a metric for early detection of COVID-19 infection. The blood oxygen levels of a healthy person (in %) are approximately normally distributed with unknown mean 0 and a standard deviation of 3%. A group of six random healthy people come in so doctors could measure their blood oxygen levels to get an estimate for the true mean. The doctor takes readings of each of the six patients and found that the average (blood oxygen level from the six readings) was 88.2%. What's a 90% confidence interval for the true mean blood oxygen level (call it 0)? Let's find out together!
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- Melissa's null hypothesis is that the average calories in frozen Mac n Cheese is 350 (that is, the population average is 350). Since she only has one sample, she uses the bootstrap to estimate the average and ultimately decides to create a confidence interval. She also chooses an 8% p-value cutoff. What kind of confidence interval should she use? Melissa's null hypothesis is that the average calories in frozen Mac n Cheese is 350 (that is, the population average is 350). Since she only has one sample, she uses the bootstrap to estimate the average and ultimately decides to create a confidence interval. She also chooses an 8% p-value cutoff. What kind of confidence interval should she use? 95% 92% 8% Not enough informationthat range from 1 to 8 minutes apart. Assuming that the inter-arrival times are integer-valued with each of the 8 values having equal probability, following uniform distribution. The service times vary from 1 to 6 minutes (integer) with the probabilities given in the following table: Service time (in mins) Probability 1 0.10 2 0.20 3 0.30 4 0.25 5 0.10 6 0.05 The random numbers for inter-arrival time are: 913, 727, 015, 948, 309, 922, 753, 235, 302. The random numbers for service time are: 84, 10, 74, 53, 17, 79, 91, 67, 89, 38. As a student of AIT, use your knowledge in computer simulation and help Mr. Owusu to: a) Simulate the system for 10 customers and compute waiting time of customers, total time spent by a customer in the system and idle time of the server. b) i. Explain average waiting time and compute it ii. Explain average time spent in the system and compute it. c) i. Evaluate the probability of idle server ii.…Suppose that 10,000 people are given a drug test that is 98.2% accurate and that 500 of the people actually are drug users. Using that information, complete the following chart: Accurate Error Total Nonusers (true negative) (false positive) 9500 Users (true positive) (false negative) 500 Total 9820 180 10,000 Hint: Fill out "accurate nonusers" first by looking at what percent of the total nonusers would be accurately tested. Looking only at positive results (accurate users and error nonusers), what is the probability of a false positive (error nonuser)? (Round to three decimal places.) Looking only at negative results, what is the probability of a false negative? (round to three decimal places) Would you consider this test to be accurate or not? Explain your reasoning fully.
- 1. Given the Bayesian network shown in the attached figure that establishes the relations between events on the burglary-earthquake-alarm domain, together with complete specifications of all probability distributions, please answer the following questions. a. On the network in Figure 2, what is the probability of the following event:event = (burglary = false) ∧ (earthquake = true) ∧ (alarm = false) ∧ (JohnCalls = true) ∧ (MaryCalls = false). b. On the network in Figure 2, what is the probability of the following event:event = (earthquake = true)∧(alarm = false)∧(JohnCalls = true)∧(MaryCalls = false).(c) If the observation is Odd ∧ 0 mod 3, what values could the secret number be? (d) What strategy would the adversary take if they were trying to guess the exact value of the secret number? (e) If the adversary follows that strategy, then what is the probability that they will succeed? (Hint: What is the joint probability associated with correlation ma- trix P ∗ T?)Consider values shown in the table below:i=1 (cold) i=2 (allergy) i=3 (stomach pain) p(Hi)0.60.30.1 p(E1 |Hi)0.30.80.3 p(E2 |Hi)0.60.90.0Those values represent (hypothetically) three mutually exclusive and exhaustive hypotheses for the patient’s condition. For example, H1: the patient has a cold, H2: the patient has an allergy, and H3: the patient has stomach pain with their prior probabilities, p(Hi)’s and two conditionally independent pieces of evidence (E1, patient sneezes and E2, patient coughs) which support these hypotheses to differing degrees. Therefore;a) Compute the posterior probabilities for the hypothesis if the patient sneezes. What is the conclusion that can be derived from this condition?b) Based on the answer from the previous result, as the patient coughs are now observed, compute the posterior probabilities for this condition. Explain the results.
- Which statements are true about LASSO linear regression? Group of answer choices has embedded variable selection by shrinking the coefficient of some variables to exactly zero. has one hyper-parameter lambda (The regularization coefficient) which needs to be tuned if there are multiple correlated predictors lasso will select all of them adds the L2 norm of the coefficients as penalty to the loss function to penalize larger coefficientsCorrect answer will be upvoted else downvoted. In the event that the thing was a Pink Slip, the mission is finished, and you won't play additional races. In any case, In the event that a≤v, the likelihood of the thing drawn becomes 0 and the thing is as of now not a legitimate thing for every one of the further draws, decreasing x by 1. In addition, the decreased likelihood an is disseminated similarly among the other excess substantial things. In the event that a>v, the likelihood of the thing drawn diminishes by v and the decreased likelihood is conveyed similarly among the other substantial things. Input :The primary line of input contains a solitary integer t (1≤t≤10) — the number of experiments. The first and the main line of each experiment contains four genuine numbers c, m, p and v (0<c,m,p<1, c+m+p=1, 0.1≤v≤0.9). Also, it is ensured that every one of c, m, p and v have all things considered 4 decimal spots. Output :For each experiment, output a…Joan believes that half of first-time brides in Singapore are younger than their grooms. Joansamples 100 first-time brides and 53 reply that they are younger than their grooms. If she performsa hypothesis test at 1% level of significance, what can she conclude?
- Correct answer will be upvoted else downvoted. At first, all lights on William's gadget are wound down. Toward the start of another emphasis the gadget arbitrarily, with a uniform dissemination, picks a light that is wound down and turns it on, let William know which digital money he ought to put resources into. After this cycle on the off chance that any k back to back lights contain more than one turned on light, the gadget gets done with working. William doesn't care for vulnerability, so he needs you to ascertain the normal worth of the number of lights that are turned on in the gadget after it gets done with working. Input Each test contains various experiments. The primary line contains the number of experiments t (1≤t≤10). Depiction of the experiments follows. The main line for each experiment contains two integers n and k (2≤k≤n≤105), which are the complete number of lights and the length of subsegment of lights that are being checked, separately. Output…adding on to the question: Now choose the detector height (on one side, i.e., y > 0 or y < 0) thatcorresponds to an angle where the first minimum in the intensity pattern is expected.formula given in the picture below m = 1. Repeat thecomputations with three paths as before (passing through yi = 0, and yi = ±a/2),and obtain the relative arrival probability. What is the intensity ratio compared tothe central detector location yd = 0?Please help with artificial intelligence questuon below If given a number of data samples from pairs of values (x, y) namely {(0, 12), (1, 19), (2, 29), (3, 37), (4, 45)} (1) Make a data plot from the given sample where the vertical axis is the y value and the horizontal axis is the x value. (2) Given a simple regression model: y = a x + b where a, b are constant numbers. Use the given data sample and least square method to predict constants a and b from the regression model. (3) Using the predicted regression model in question (2) above, calculate the estimated value of y if the value of x = 7.