A source has six messages with probabilities p(x)-[0.25, 0.3, 0.2, 0.08, 0.15, 0.07], find the coding redundancy of Shannon-Fano code..
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- = 3. Propose an algorithm for simulating the occurrence of two dependent events A and B that uses only one uniform random variable U~Unif(0, 1). Assume that the probabilities P(A) ΡΑ, P(B) = PB, and P(AUB) = q are given, where PA, PB, q = (0, 1) and max(PA, PB) < q < PA+PB· Formulate your answer in the form of the following statement: "if U E ..., then event A occurs; if U € .……., then event B occurs."This student never eats the same kind of food for 2 consecutive weeks. If she eats a Chinese restaurant one week, then she is equally likely to have Greek as Italian food the next week. If she eats a Greek restaurant one week, then she is three times as likely to have Chinese as Italian food the next week. If she eats a Italian restaurant one week, then she is four times as likely to have Chinese as Greek food the next week. Assume that state 1 is Chinese and that state 2 is Greek, and state 3 is Italian. Find the transition matrix for this Markov process. P =For RBD topology 1, the independent component working probabilities are P(A)0.83, P(B)-0.73, PIC)0.45, PID0.66, P(E0.83. What is the probability that the system will work? Your answer: O 0.382043 O 0.520173 O 0,436623 O 0.929271 O 0.903641 O 0.152346 O 0,952901 O 0728327
- Eight students attended a birthday party. Three of them were confirmed Covid-19 positive. The contact tracer had conducted a random test for only two students. Find the probability distribution for random variable X which represents the number of Covid-19 positive patients. What three statements of the problem can be concluded out of the topic Covid-19?Suppose a family uses a lock-in their home that opens by using a lock code that is a product of two numbers, one from a set, P = {2, 3, 4, 5, 9} and another from set Q = {1, 2, 6, 7}. Now consider all the possible combinations of numbers from the given two sets and find the probability that lock will open up by entering a number multiple of 6.A production engineer found that a particular manufacturing process Couses defects in 6 of Eight of these Components every 20 Com ponents . are ex amined, what is the probability that at Least two of these components have defe cts?
- Suppose we learned a tree on a dataset and learned a tree with the following decision boundary. The image also shows the training examples used to learn the tree with "+" indicating positive label while "-" indicating negative. For this question, we are interested in using the tree learned from this data to predict the probability a point has a positive label. Using this tree, what is the predicted probability that the label is positive for the input (x[1] = 4, x[2]=2)? Enter your answer as a number between 0 and 1 (rounded to two decimal places) x[2] 4 3 2 0.87 2 3 4 x[1]Suppose there are a million cars made by a car company across the globe, where the probability that a car has a defective brake part is 0.0002. Based on the Monte Carlo algorithm, determine the minimum number of cars that needs to be tested so the probability of finding not even a defective car among those tested is less than two in a million. Use a calculator to simplify your answer and obtain the minimum number of cars.A cybercafe buys 45% of its laptop from Company A, 35% from Company B and 20% from Company C. However, 20% of laptop from Company A is prone to defect whereas 10% from Company Band 5% from Company C. Draw a tree diagram for the situation and hence find the probability the laptop is from Company Cif it is defect.
- plz provide hand written answer for ques 10 asapEach of two parents have the genotype red/blonde, which consist of the pair of alleles that determin hair color, and each parent contributes one of thoes alleles to a child. Assume that if the child has atleast one re allele, that color will dominate and the childs hair color will be red. List diffrent out comes, Assume these outcomes are equal likley probability of a child of these parents will have the blonde/blonde genotype? What is the probability that the child will have red colored hair ?please be clear
