Two brother X and Y appeared for an exam. The probability of selection of X is 1/7 and that of B is 2/9. Find the probability that both of them are selected,
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- If the probability of an event is 62%, what is the probability of its complement?To check on an ambulance service’s claim that at least 40% of its calls arelife-threatening emergencies, a random sample was taken from its files, and it was foundthat only 49 of 150 calls were life-threatening emergencies. Can the null hypothesis p = 0.40be rejected against the alternative hypothesis p < 0.40 if the probability of a Type I erroris to be at most 0.01?Correct answer will be upvoted else Multiple Downvoted. Don't submit random answer. Computer science. Culinary specialist Monocarp has recently put n dishes into a broiler. He realizes that the I-th dish has its ideal cooking time equivalent to ti minutes. At any certain integer minute T Monocarp can put close to one dish out of the broiler. On the off chance that the I-th dish is put out at some moment T, its undesirable worth is |T−ti| — the outright contrast among T and ti. When the dish is out of the stove, it can't return in. Monocarp should put every one of the dishes out of the stove. What is the base all out unsavory worth Monocarp can acquire? Input The principal line contains a solitary integer q (1≤q≤200) — the number of testcases. Then, at that point, q testcases follow. The principal line of the testcase contains a solitary integer n (1≤n≤200) — the number of dishes in the broiler. The second line of the testcase contains n integers t1,t2,… ,tn…
- t-SNE tries to minimize the divergence between the probability distributions of neighbors in original space and in reduced space. From this case, is it True or False?Correct answer will be upvoted else Multiple Downvoted. Don't submit random answer. Computer science. Another law will be endorsed to expand the uniformity between the specialists. The public authority chose to cause everybody to have a similar occupation classification by playing out the accompanying activity quite a few times (conceivably zero). There is a decent objective boundary k=ab depicting that it is so natural to persuade people in general, and it will be utilized to decide the accomplishment of an activity. In an activity, the public authority initially chooses a task class x with something like one laborer at the current second. Assume i1,… ,im (i1<… <im) are the places of the multitude of laborers with work classification x. In the event that k⋅(im−i1+1)≤m, the public authority can pick any work classification y with no less than one specialist at the current second and change the work class of all laborers with work class x to work classification y. In case…This exercise asks you to (partly) verify that linearity of expectation holds even if the random variables are not independent. Consider two 6-sided dice that are rolled independently. What is the expected value of the sum? Now consider the case where the first die is rolled normally and then the second die is set equal to the value shown on the first die. What is the expected value of the sum? Now consider the case where the first die is rolled normally and the second die is set equal to 7 minus the value of the first die. What is the expected value of the sum?
- Prove that I(X; Y |Z) ≥ I(X; Y ) . Note: X, Y, and Z are random variables. X and Z are independent.Correct answer will be upvoted else downvoted. Computer science. In the event that right now Pekora hops on trampoline I, the trampoline will dispatch her to situate i+Si, and Si will become equivalent to max(Si−1,1). At the end of the day, Si will diminish by 1, besides of the case Si=1, when Si will stay equivalent to 1. On the off chance that there is no trampoline in position i+Si, this ignore is. Any other way, Pekora will proceed with the pass by hopping from the trampoline at position i+Si by a similar principle as above. Pekora can't quit hopping during the pass until she arrives at the position bigger than n (in which there is no trampoline). Poor Pekora! Pekora is an underhanded hare and needs to demolish the jumping place by diminishing all Si to 1. What is the base number of passes she really wants to diminish all Si to 1? Input The main line contains a solitary integer t (1≤t≤500) — the number of experiments. The principal line of each experiment…For the Covid-19 pandemic, let’s make the following assumptions: (i) the natural infection rate is 20% (i.e., a person who is not vaccinated has 20% chance of being infected); (ii) the vaccine is 90% effective at preventing Covid-19 infection (i.e., a vaccinated person has only 2% chance of being infected); (iii) the probability of a random person being vaccinated is 60%. Without knowing whether or not a person is vaccinated, what is the probability that this person will be infected? Given that a person is infected, what is the conditional probability that this person is vaccinated?
- Let X and Y be two binary, discrete random variables with the following joint probability mass functions. (a) Compute P(X = 0]Y = 1). (b) Show that X and Y are not statistically independent. P(X = 0, y = 1) = P(X = 1, Y = 0) = 3/8 P(X = 0, y = 0) = P(X = 1, Y = 1) = 1/8Given a table with student scores. Based on the scores in Programming and Probability, we have to find the scores in machine learning suing KNN with K=1, for given scores of a student in Programming= 17 and in probability=11 Score in Programing Score in Probability Score in Machine Learning 18 15 15 15 12 13 18 10 11 19 16 17 Select one: O a. None O b. 11 O c. 17 O d. 15 O e. 13Given access to a robot's motion model and prior belief distribution, how can we compute the probability P(x|u) where x is the latest robot's state and u is the control applied at a previous state x'?