Are the two events A given B in conditional probability independent or not independent?
Q: A teacher has found that the probability that a stu-dent studies for a test is 0.60, the probability…
A: Given that: A= student studies for test P(A)=0.60 B= student gets good grade. P(B)=0.72 P(A∩B)=P(…
Q: Let events A and B be independent events. Let P(A) and P(B) be the probabilities that events A and B…
A: According to the given information, we have Given that A and B are two independent events. P(A) and…
Q: There are three events C1, C2, C3 with the probabilities p1, p2, P3 respectively. If /5, and p3 =…
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Q: Peter went shopping for dinner. The vendor “accidentally” mixed all the chicken and duck eggs.…
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Q: Choose the statement that is TRUE: O Outcome is the set of all possible outcomes of an experiment. O…
A: Probability may be defined as the ratio of favourable outcomes to the total possible outcomes.…
Q: A letter posted second-class on a Monday has the following probabilities of arriving on Tuesday to…
A: Let's approach this step by step:1) For the first-class letter, the probabilities are as follows:…
Q: Let A, B and C be three independent events such that P(A)= P(B)= 0.3 and P(C)=0.5. Find the…
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Q: A grocery store employs cashiers, stock clerks, and deli/bakery workers. The distribution of…
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Q: A leisure ice rink in a recreational centre has public skate for 18 minutes, skating lessons for 30…
A: Let A denote public skating, B denote skating lessons and C denote ice cleaning. Here the required…
Q: Let A and B be events. a. Use probability notation to represent the conditional probability that…
A: a. The conditional probability of an event B is the probability that the event will occur given the…
Q: If the probabilities that an automobile machine will service 3,4,5,6,7, or 8, or more cars on any…
A: Given Information: The following table represents the number of cars that automobile mechanic will…
Q: Let X and Y be two possible events with P(X) = 0.3 and P(Y) = 0.20 respectively. Assume that events…
A: The two probability values are P(X) =0.3 and P(Y)=0.20
Q: Two workers A and B are both working for a certain store. Worker A comes to work 80% of the time…
A: The provided information is P(A)=0.60 P(B)=0.80 If A and B are independent Then,…
Q: The probability that a institution receives a computer from three different manufacturers are, 0.60…
A: Given Information: Probability of computer received from F1=0.60 Probability of computer received…
Q: the transmission of digital information, the probabilities that a bit has high, moderate, and low…
A: Given P(high distortion)=0.01 P(moderate distortion)=0.04 P(low distortion)=0.95
Q: The probability that a institution receives a computer from three different manufacturers are, 0.60…
A: Let F denotes the manufacturers and W denotes working without repair. Given:…
Q: I have: P(E)=25/100 P(F)=50/100 P(F|E)=17/25 P(E|F)=17/50 I don't know if E and F are…
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Q: Find the conditional probability of the indicated event when two fair dice (one red and one green)…
A: Answer - Two fair die are thrown (first red and second green) Sample space (S) =…
Q: ne probabilities that a customer buys 1, 2, 3, 5, 8 apples each day in a grocery store are 0.20,…
A: We have given that Probability distribution B 1 2 3 5 8 p(B) 0.20 0.32 0.23 0.18 0.07 I…
Q: Let A and B be events such that P (A) = 4/10 and that P (A∪B) = 7/10 Find the probability of B…
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Q: Tina Fey goes trick-or-treating the night of Halloween dressed as Sarah Palin. She visits homes in…
A: Hello thank you for the question. According to out honor code can answer only three sub parts at a…
Q: Find the probability that David is not late for work, given he drives.
A: The tree diagram summarizes the given probabilities is obtained below: The probability of drives…
Q: Since P(female)x P(fail) = so the events are Submit Answer and P(female and fail) the two results…
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Q: The probabilities that a textbook page will have 0, 1, 2, 3, or 4 typographical errors are 0.49,…
A: Probability is a branch of mathematics or statistics which basically deals with the chances of…
Q: Suppose there is a 14.1% probability that a randomly selected person aged 30 years or older is a…
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Q: Let ?D be the event that a student likes dancing and ?A be the event that a student likes athletics.…
A: P(Dc|A) =0.44 P(D|AC) =0.76 P(AC) =0.65
Q: at a certain school, 34% of the students will qualify for financial aid type A and 19% will qualify…
A: Given information: PA=0.34PB=0.19PA∩B=0.051
Q: Say that the probability that someone has a wireless mouse for their computer is 0.4 and the…
A: Let the event A denote someone having a wireless mouse and event B denote someone having a wireless…
Q: Is Lucas's first free throw shot independent of his second free throw shot? O The two free throws…
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Q: At a gas station, 40% of customers use regular gasoline, 35% use extra gasoline and the remaining…
A: We have to find given probability.
Q: The probabilities that a service station will pump gas into 0, 1, 2, 3, 4, or 5 or more cars during…
A: The probabilities that a service station will pump gas into 0, 1, 2, 3, 4, or 5 or more cars during…
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- Please helpThe probabilities are 0.4, 0.2 and 0.3 and 0.1, respectively, that a student uses LAN,Wifi, Prepaid Data, or Hotspot for internet connection. What is the probability thatamong 10 randomly selected students, 2 use LAN, 4 use Wifi, 3 use prepaid data,and 1 uses Hotspot for their internet connection?Say that the probability that someone has a wireless mouse for their computer is 0.4 and the probability that someone does not have a wireless keyboard is 0.3. The probability that someone has both a wireless mouse and a wireless keyboard is 0.2. Let the event A denote someone having a wireless mouse and event B denote someone having a wireless keyboard. a. Now say we interview two independent people. What is the probability that both have a wireless mouse?
- two way table Pathology Pediatrics Psychiatry Male 2950 1380 270 4600 Female 1550 1320 1530 4400 4500 2700 1800 9000 Find each of the following conditional probabilities a) Are the events E = 'Female' and F = 'Pathology' dependent or independent? Explain why. b) Are the events F = 'Male' and G = 'Pediatrics' dependent or independent? Explain why.The probability that a institution receives a computer from three different manufacturers are, 0.60 from F1, 0.30 from F2 and 0.10 from F3. If 95% of those computers from F1, 80% of those from F2 and 65% of those from F3 perform for more than two years without repair. Given a computer perform for two years without repair what is the probability it came from F3.Let A and B be two events such that the probability of B is 0.5 and the probability of both is 0.2. Find the probability of A given that B occurs.
- An automobile manufacturer produces 49% of its cars at plant A. If 5% of the cars manufactured at plant A have defective emissions control devices, what is the probability that one of this manufacturer's cars was manufactured at plant A and has a defective emissions control device? Probability = (Type an integer or decimal.) CTina Fey goes trick-or-treating the night of Halloween dressed as Sarah Palin. She visits homes in her neighborhood to collect candy, but only receives candy, naturally, when the door is answered and the family still has a piece of candy to give away. Upon knocking, the probability of the door being answered is 3/4, and the probability that the home still has candy is 2/3. Assume that the events “Door answered” and “candy remaining” are independent and also that the outcomes at each home are independent. Also assume that each home gives away at most a single piece of candy. (c) Determine the probability that she receives her second piece of candy at the fifth house. (d) Given that she did not receive her second piece of candy at the second house(not sure if she receive her first candy), determine the conditional probability that she will receive her second piece of candy at the fifth house.
