4. Suppose A and B are events in a sample space S with probabilities 0.8 and 0.7, respectively. Suppose also that P(A n B) = 0.6. What is P(A U B)?
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- 11. The table below shows the political party registration by gender of all 500 registered voters in Franklin Township. A) Given that a randomly selected registered voter is a male, what is the probability that he is registered for Party Y? B) Among the registered voters of Franklin Township, are the events "is a male" and "is registered for party Y" independent? Justify your answer based on probabilities calculated from the table. Party W Party X Party Y Total Female 60 120 120 300 Male 28 124 48 200 Total 88 244 168 5007. Suppose that 30% of Canadians play hockey. Suppose further that 10% of people in the usa and 1% of people in mexico play hockey, and that for the rest of North American countries and territories the probability of playing hockey is zero. If a randomly selected North American person plays hockey, ded. Please start early a. what is the probability that he is from canada? b. what is the probability that he is from the USA? Note that Canada has 6% of the population in North America, the USA has 57% and Mexico has 21%.20. If the B column of your Z Table disappeared, which of the following could be used to determine B column probabilities? (hint: to help yourself, draw these choices) a. D column - .5000 b. C column - .5000 c. 1-D column d. 1-C column
- 1. Eight persons enter a supermarket. From the past experience, it is known that 25% of the people entering the supermarket make a purchase.What is the possible values of the random variable X?Construct the probability distribution of X.X P(X=x) What is the probability that1) at least four persons will make a purchase?2) two or three persons will make a purchase?3) a most two persons will make a purchase? 2. A fair coin is tossed. If “heads” occur, two chips are drawn from a basket with three blue and two red chips; otherwise, the experiment is terminated. Participants will be interested in the event E of observing two chips of different colors. Give the sample space of the random experiment. Find the a priori probability of event E1. An experiment is rolling two dice. Show work and give R for “given” probabilities. (a) State the sample space. (b) What is the probability that the sum is 7 given that the first die is a 2? (c)Are the two events sum of 6 and first die is a 5 independent events? Why or why not? (d) Are the two events sum of 7 and first die is a 2 independent events? Why or why not?11. Based on a survey, assume that 49% of consumers are comfortable having drones deliver their purchases. Suppose that we want to find the probability that when four consumers are randomly selected, exactly two of them are comfortable with delivery by drones. Identify the values of n, x, p, and q. The value of n is (Type an integer or a decimal. Do not round.) The value of x is (Type an integer or a decimal. Do not round.) The value of p is (Type an integer or a decimal. Do not round.) The value of q is (Type an integer or a decimal. Do not round.)
- 18. A spinner has ten sectors in different colours. The sectors are different sizes. Here are the probabilities of scoring three of ten colours: Colour Red Probability 0.1 Blue 0.2 quinraum Yellow 0.05 The spinner is spun. Find the probability that the colour is: (a) not red (b) not red or blue (c) not red or blue or yellow7. Find the point probabilities below, and show your work:a. The probability of graduating from an undergraduate degree is 80%. What is theprobability of not graduating b. 4/10 individuals get a job out of high school and 4/10 go to college. What probability ofpeople do neither? c. A jar contains 12 red marbles and 8 black marbles. Two marbles are drawn withreplacement from the jar (i.e., the first marble was put back in before the second draw).What is the probability that both of the marbles are black? d. A jar contains 12 red marbles and 8 black marbles. Two marbles are drawn withoutreplacement from the jar (i.e., the first marble was not put back in before the second draw).What is the probability that both of the marbles are black? e. The probability of finishing a 5km race is 90%. The probability of finishing a race andrunning under a 20 minute 5km race is 15%. What is the probability that a person will runa 5km race in 20 min given they finished the race? f. A man goes to the…6. Let S be the event that a randomly selected college student has taken a Geology subject, and let C be the event that the same student has taken a Physics subject. Suppose P(S) = 0.4, P(C) = 0.3, and P(S N C) = 0.2. a. Find the probability that a student has taken Geology, Physics, or both. b. Find the probability that a student has taken neither Geology nor Physics. c. Find the probability that a student has taken Geology but not Physics.
- a. You are going to choose a number randomly from the set { 3, 4, 5, 6, ... 19, 20). What is the probability that the number will be divisible by 5 given that the number is even? b.In CSE230, there were 2 assignments this semester. The probabilities that you would get full marks in the first and second assignments are 0.32 and 0.41 respectively. Now, if you get full marks in the first assignment that makes your probability of getting full marks in the second assignment as 0.53. What is the probability of getting full marks in the first assignment given that you got full marks in the second assignment?Solve question 9 for me please.
