4 2, 65. The probabilities of X, Y and Z becoming managers are공승 and respectively.The probabilities that the Bonus Scheme will be introduced if X, Y and Z become managers are9'93 1410 2andrespectively.(i) What is the probability that the Bonus Scheme will be introduced; and(ii) If the Bonus Scheme has been introduced, what is the probability that the manager appointedwas X ?

Answered: Image /qna-images/answer/c5839fb6-fb31-401f-a655-2c148b567234.jpg

Answered: 4 2 65. The probabilities of X, Y and Z…

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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For this problem, assume that 11 % withdraw, 14 % receive an A, 18 % receive a B, 35 % receive a C, 14 % receive a D, and 8 % receive an F. (1) What probability should be assigned to the event "pass the course"? (2) What probability should be assigned to the event "withdraw or fail the course"?
The probability that a student at a university is a male is 0.48, that a student is a business major is 0.14 and that a student is a male and a business major is 0.06. Find the probability that a randomly selected student from this university (a) is a male or business major. (b) is a male given that he is a business major. (c) is either a male or a business major but not both. (d) is neither male nor business major. (e) Are male and business major independent events?
17. Two dice are rolled. Find the probability that: (a) The sum of the numbers is 8. (b) The sum of the numbers is less than 13. (c) The sum of the numbers is more than 8. (d) The sum is less than 4.
104. Two sets of candidates are competing for the positions on the Board of Directors of a company. The probabilities that the first and the second sets will win are O-6 and 0-4 respectively. If the first set wins, the probability of introducing a new product is 0-8 and corresponding probability if the second set wins is 0-3. What is the probability that the product will be introduced ?
Timely patching is important for server security. Suppose an organization has 3 servers. Two of them have been patched, while one of them still remains unpatched. The prob- ability an unpatched server gets compromised is, and the probability that a patched server get compromised is p. If an attacker randomly attacks one of the three servers, the probability he compromises the server is (a) What is the value of p? • (b) This time the attacker randomly chose two servers to attack, and observed only one of them got compromised. What is the conditional probability that both attacked servers are patched?
The route used by a certain motorist in commuting to work contains two intersections with traffic signals. The probability that he must stop at the first signal is 0.45, the analogous probability for the second signal is 0.5, and the probability that he must stop at at least one of the two signals is 0.9. (a) What is the probability that he must stop at both signals? X (b) What is the probability that he must stop at the first signal but not at the second one? X (c) What is the probability that he must stop at exactly one signal?
Please help!!! Q4. Ariana and Bella are playing a game. They each have 4 cards, which are numbered 1, 2, 3 and 4. Each shuffles her own cards and turns one over at random. If the cards show the same number, Ariana wins and Bella must pay Ariana $3. If the cards show different numbers, Bella wins and Ariana must pay Bella $1. By finding the probabilities of Ariana and Bella winning, show whether or not the game is fair.
Q1 1. The following spinner was spun 38 times. What is the probability of spinning A 16 times? Insert Image
85. Two sets of candidates are competing for the positions on the Board of Directors of The probabilities that the first and the second sets will win are 0.6 and 0.4 respectively. If a company. the first set wins, the probability of introducing a new product is 0.8 and corresponding probability if the second set wins is 0.3. What is the probability that the product will be introduced ? Cop wins
4. In a tennis match, with the score at deuce, the game is won by the first player who gets a clear lead of two points. If the probability that given player wins a particular point is 0, and all points are played independently, what is the probability that player eventually wins the game?
8 -The probability of an investor to invest his savings in foreign currency is 0.45, the probability of investing in gold is 0.42, and the probability of buying government bonds is 0.37. In addition, the probability of investing in foreign currency and gold together is 0.10, the probability of buying both foreign currency and government bonds is 0.12, the probability of buying both gold and government bonds is 0.20, and the probability of buying all three is 0.05. What is the probability that this investor will invest his savings in foreign currency or not in gold?a)0.65 B)0.05 NS)0.58 D)0.78 TO)0.35
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