MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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P(A or B)=P(A)+P(B)−P(A or B).
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- Suppose you play a game that you can only either win or lose. The probability that you win any game is 65%, and the probability that you lose is 35%. Each game you play is independent. Let X is the number of wins If you play the game 20 times. P(X=13) = 20C13( )13( )arrow_forwardIn the woods, a hunter is shooting at a hare. The probability of success for his first shot is ½. If he misses the first shot, the probability of success for his second shot is 1/4. If he misses again, the hunter takes his last shot with probability of success 1/8. What is the probability that he will hit the hare?arrow_forwardIn each of Exercises, decide whether or not the two events in question are independent or whether it is not possible to tell. Justify your answers. P(A) = 2/5,P(B) = 3/4, and P(A&B) = 3/10arrow_forward
- Given P(A) = 0.372, find the probability of the complementary event.arrow_forwardExplain with answerarrow_forwardK Research has shown that approximately 1 woman in 500 carries a mutation of a particular gene. About 69% of women with this mutation develop skin cancer. Find the probability that a randomly selected woman will carry the mutation of this gene and will develop skin cancer. The probability that a randomly selected woman will carry the gene mutation and develop skin cancer is (Round to four decimal places as needed.) Sample Space: Women Women with mutated gene Women who develop skin cancerarrow_forward
- The Addition Rule for the probability that events A or B or C will occur, P(A or B or C), is given by P(A or B or C)=P(A) + P(B) + P(C) - P(A and B)- P(A and C) - P(B and C) + P(A and B and C) Find P(A or B or C) for the given probabilities. P(A) = 0.35, P(B) = 0.22, P(C) = 0.18 P(A and B) = 0.11, P(A and C) = 0.03, P(B and C) = 0.08 P(A and B and C) = 0.01 P(A or B or C) =arrow_forwardFor two events A and B, P(A)=0.24, P(B)=0.57, and P(A∩B)=0.32. a.Find P(A|B) b. Find P(B|A) c. Are A and B are independent?arrow_forwardUse the formula P(B)A) = n(A and B) / n(A) to find the probability P(queen(face card) when a single card is drawn from a standard 52 card deck.arrow_forward
- From Actuarial Math A telemarketer of an insurance company makes repeated calls to persons on a computer generated list. The probability of making a sale on any individual call is p= 0.1. Successive calls are independent. Let N be the number of unsuccessful calls before the first sale. What is the probability of making exactly 5 unsuccessful calls before (a) the third sale is made? (b) Find E(N) and Var(N) using E(N) = rß and Var(N) = rß(1+ B). %3Darrow_forwardFor two events A and B, P(A) = 0.55, P(B) = 0.40, and P(A & B) = 0.22. Find P(A|B). Express your answer as a decimal rounded to 2 digits, eg. 0.96.arrow_forwardThe probability of taking a step forward by a man is 1/2. Calculate the probability that he has moved 4 steps forward in 10 steps. 1 (a) 1024 15 (b) 128 1 (c) 3 (d) 4arrow_forward
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