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Verify through listing all the possibilities of random graphs with three nodes that the probability that a graph with -nodes is connected formula is correct when n=3
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- Say you have a bipartite graph between X and Y with no edges, if N edges are added between X and Y uniformly at random what is the probability that the N edges forms a perfect matching.Suppose there is a big news that everyone knows it except node 1. However, anyone who directs to node 1 may share the news to node 1 with a probability of that edge's weight. Find the probability that node 1 will NOT know the news after all possible shares.In a recent year, 8,162,826 male students and 1,631,363 female students were enrolled as undergraduates. Receiving aid were 61.6% of the male students and 69.5% of the female students. Of those receiving aid, 41.5% of the males got federal aid and 54.4% of the females got federal aid. Choose 1student at random. (Hint: Make a tree diagram.) Find the probability of selecting a student from the following. Carry your intermediate computations to at least 4 decimal places. Round the final answers to 3 decimal places. A female student, given that the student has aid. P(female student, given that the student has aid) =
- In a recent year, 8,162,826 male students and 1,631,363 female students were enrolled as undergraduates. Receiving aid were 61.6% of the male students and 69.5% of the female students. Of those receiving aid, 41.5% of the males got federal aid and 54.4% of the females got federal aid. Choose 1student at random. (Hint: Make a tree diagram.)Find the probability of selecting a student from the following.Carry your intermediate computations to at least 4 decimal places. Round the final answers to 3 decimal places. A male student with aid. P(male with aid) =Assume the year has 300 days. What is the probability that in a group of n people,at least two people will share the same birthday?What is the minimum value of n so that the probability that 2 of them share a birthday ismore than 1/2?A research study in a big metropolitan area shows that 2% of individuals living within the city limits move to suburbs during one-year period while 1% of individuals living in the suburbs move to the city during a one-year period Assume that a person is now living in the city, what is the probability that the person will move the the suburb after two year? Use a tree diagram to answer the
- a coin has 99 percent chance of getting heads after each flip. if the coin is flipped 100 times , find the prob of flipping atlewast one tailsIn a recent year, 8,162,826 male students and ,631,363 female students were enrolled as undergraduates. Receiving aid were 61.6% of the male students and 69.5% of the female students. Of those receiving aid, 41.5%of the males got federal aid and 54.4% of the females got federal aid. Choose 1 student at random. (Hint: Make a tree diagram.) Find the probability of selecting a student from the following.Carry your intermediate computations to at least 4 decimal places. Round the final answers to 3 decimal places. A female student, given that the student has aid. P (female student, given that the student has aid) =Find the probability that if 4 sticks are rarndomly arranged in a row, they will be arranged in order of increasing size.
- In a recent year, 8,656,380 male students and 1,795,070 female students were enrolled as undergraduates. Receiving aid were 63.7% of the male students and 66.3% of the female students. Of those receiving aid, 44.7% of the males got federal aid and 52.9% of the females got federal aid. Choose 1 student at random. (Hint: Make a tree diagram.)Find the probability of selecting a student from the following.Carry your intermediate computations to at least 4 decimal places. Round the final answers to 3 decimal places. A female student without aid. P (female without aid)In certain areas, 55% of the population are women. 15% of the women jog and 20% of the men jog. a. construct a tree diagram b. find the probability that a randomly selected person is a woman, given that the individual is a jogger.Suppose we have a triangle (with 3 vertices and 3 edges). We color each vertex blue or red uniformly at random. Then define 3 random variables, one for each edge, that indicate whether the two vertices that edge touches are the same color. Are they mutually independent?