ving ages an party egister na certain city. If one voter is chosen at random from this survey, what is the probability that the voter is a not democrat. (Hint: P(A“) = 1– P(A)} Age Republican Democrat Independent Other Total 18-28 205 432 98 112 847 29-38 311 301 109 83 804 39-49 250 251 150 122 773 250 272 283 142 107 804 Total 1038 1267 499 424 3228

. Assume that 75 percent of the students at the university have taken 4 years of high school math. Of those with four years of high school math, 80 percent plan to major in science. Of those without 4 years, only 10 percent plan to major in science. You stop a student at random. If the student plans to major in science, what is the probability that this student had four years of high school math?

All human blood can be "ABO-typed" as one of O, A, B, or AB, but the distribution of the types varies a bit among groups of people. Here is the distribution of blood types for a randomly chosen person in a country. Blood type A National probability 0.43 0.12 AB ? (a) What is the national probability of type AB blood? O 0.41 (b) Maria has type B blood. She can safely receive blood transfusions from people with blood types O and B. What is the probability that a randomly chosen person from this country can donate blood to Maria?

1. Use this table for the following questions:                        Female      Male         TotalShort Hair       20              40             60 Long Hair        30              10             40 Total                50              50             100 a. Complete a total probability table.b. Complete a row probability tablec. Complete a column probability table.d. The probability that a student does not have long hair. _________e. The probability that a student is male or has short hair. ________f. The probability that a student is a female and has long hair. _________g. The probability that a student is male, given that the student has long hair. _________h. The probability that a student has long hair, given that the student is male. _________i. Of all the female students, the probability that a student has short hair. ________j. Of all students with long hair, the probability that a student is female. _________k. The probability that a student is female or has long hair.…

Suppose that 35% of people own dogs. If you pick two people at random, what is the probability that they both own a dog?Give your answer as a decimal (to at least 3 places) or fraction

Suppose you want to estimate the probability that a patient will develop an infection while hospitalized at a particular hospital. In the past year, this hospital had 8,650 patients, and 812 of them developed an infection. What is the estimated probability that a patient at this hospital will develop an infection? 812 O P(the patient develops an infection) 8650 1 P(the patient develops an infection) = 8650 5738 O P(the patient develops an infection) 8650 O P(the patient develops an infection) = 812 812 O P(the patient develops an infection) 5738

The following table represents the numbers of students in a section of Math 120 with declared or undeclared majors along with their class.  What is the probability that a student who is a sophomore has a declared major?  Enter your answer in decimal form and round to four decimal places if rounding is necessary.Probability that a student who is a sophomore has a declared major =                       Freshman (F) Sophomore (H) Junior (J) Total Declared (D)         114                 28                     4            146 Undeclared (U)       9                   7                      1              17 Total                      123                 35                    5             163