4. Suppose A and B are events in a sample space S with probabilities 0.8 and 0.7, respectively. Supposealso that P(An B) = 0.6. What is P(A U B)?

Given that P(A)=0.8 , P(B)=0.7 and P(A ∩ B)=0.6

Answered: 4. Suppose A and B are events in a…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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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 88 244 168 500
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. 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.)
7. 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…
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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)?