Let the S = {0,1,2,3,4,5,6,7,8,9,10} be the sample space of a random experiment. Suppose A is the event that we observe a number less than 3 and B be the event that we observe a number greater than 8. Determine the event that either A occurs or B occurs. Group of answer choices {4,5,6,7} {3,4,5,6,7,8} {0,1,2,3,8,9,10} {0,1,2,9,10} empty set

Suppose that it is known that a certain disease occurs in 4% of the population. Suppose also that we have a certain medical test to determine if person has this disease. The test produces a positive reading on 99.4% of those infected with the disease. Suppose that this test gives a positive result in healthy patients 2% of the time. Assume we have 100,000 random individuals that follow the above information perfectly. Determine the number of false positives. Type your numeric answer and submit A Submit Unanswered 19 nter 6 Notes Pa docx Show all

7) Four students will be randomly selected from the six top students in mathematics to represent their school in a regional competition. Angela and Brian are among the six students, and they wish to determine the probability that they will both be chosen. Describe (list) the sample space for determining this probability. What is the probability they will both be chosen?

Suppose D and C are independent events in the same sample space. If we know that Pr [D] = ½ and Pr[C] = ½, Pr[DUC] determine Pr DUC A. 8 35 26 B. 35 9 C. 35 6 D. E. 27 35

The sample space listing the eight simple events that are possible when a couple has three children is​ {bbb, bbg,​ bgb, bgg,​ gbb, gbg,​ ggb, ggg}. After identifying the sample space for a couple having four​ children, find the probability of getting fourfour girlsgirls and nono boysboys. Identify the sample space for a couple having four children.   ​{nothing​} ​(Use a comma to separate answers as​ needed.) Find the probability of getting fourfour girlsgirls and nono boysboys.

A coin is flipped once. If the result is a heads, the coin is flipped 2 more times, and the result (heads or tails) of each successive flip is noted. If the result is a tails, the coin is flipped 3 more times and the result of each successive flip is noted. How many possible outcomes are in the sample space of this experiment?