2. Human blood is grouped into four types. The percentages of Americans with each type are:...
An urn contains 2 balls that are either red or blue. At each step a ball is randomly drawn and replaced with a new ball, having the same color w.p. 4/5, or different color w.p. 1/5. Find the probability that the 5th ball drawn is red, if you start with 2 red balls in the urn. Please explain step by step how the transition probability matrix is formed.
Exercise 3 (SOA type). Urn I contains 10 balls: 4 red and 6 blue. Urn II contains 16 red balls and an unknown number of blue balls. A single ball is drawn from each urn. The probability that both balls are the same color is 0.44. What is the number of blue balls in urn II?
Please ignore the section discussing the 3 diagrams. Tree Diagrams and Probability A box contains 4 red and 8 blue balls. Three balls are drawn from the box. Print the 3 different tree diagrams. 1. Complete the symbolic tree diagram by placing appropriate symbols on the branches and at the ends of the branches as indicated 2. Assuming the balls are drawn without replacement, complete the WO R diagram by placing appropriate probabilities on the branches and at the ends...
Show all work and steps! don't skip any steps. 28. Polya's urn model supposes that an urn initially contains r red and b blue balls. At each stage a ball is randomly selected from the urn and is then returned along with m other balls of the same color. Let Xk be the number of red balls drawn in the first k selections. (a) Find ELXi] (b) Find ELX2] (c) Find ELX3] (d) Conjecture the value of E[X], and then...
discrete math 1) a. A box contains 4 marbles: 1 red, 1 blue, 1 green, 1 yellow. Consider an experiment that consists of taking 1 marble from the box, replacing it and then drawing a second marble. Describe the sample space. How does the sample space differ if the first marble was not replaced before the second marble was drawn? (2 marks) a. A bag contains 5 red balls and 8 blue balls. Each time a ball is selected, its...
5. Three boxes are numbered 1, 2 and 3. For k 1, 2, 3, box k contains k blue marbles and 5 - k red marbles. In a two-step experiment, a box is selected and 2 marbles are drawn from it without replacement. If the probability of selecting box k is proportional to k, then the probability that two marbles drawn have different colours is 6. Two balls are.dropped in such a way that each ball is equally likely to...
Answers for all questions please!! 8) A bag contains 10 red marbles and 8 green marbles. Anne picks 3 replacement, and observes the color of each marble. The number of green binomial random variable. If we let success correspond to getting success probability, p?What is the number of trials? marbles at random, with 8) marbles, X, is a a green marble, what is the A) P- n3 Solve the problem. 9) One hundred people were asked, "Do you favor the...
4) There are four blood types (A, B, AB, and O) and two Rh factors +or -). Each person has a blood type and an Rh factor. The percentages of blood types and Rh factors have a strong relationship to ethnicityas we can see in the tables below US Pop Euro. Afr. L. AmAsia Ethnicity 0 0.38 0.07 0+ 0.37 0.47 0.53 0.39 Caucasian 0.63 O 0.08 0.04 0.04 Lat. American 0.176 A 0.34 0.06 0.01 B 0.09 0.02 Afr....
>de 2 Página 1 MATH 120- Online TEST 4 Optional for credit 1. 100 frogs are released into a parkland lake. 80 % are expected to be green and the rest yellow. What is the number of yellow frogs that would be expected? 2. Assuming equally likely events, that is more likely to happen: drawing a card from a deck and getting a face card or being born on a Tuesday? 3. What is the probability of getting 3 heads...
Background INFO There are four types of blood: A, B, AB, and O (Figure 4). Each is characterized by the glycoproteins (proteins with a sugar attached) and lipoproteins (proteins with a lipid attached) embedded in the surface of red blood cells (RBCs). In addition to type, blood can be rhesus (Rh) factor positive or negative. These proteins are inherited and may differ from individual to individual. If, during a transfusion, an individual receives blood with the incorrect RBC proteins (for...