A joint sample space for two random variable X and Y has four elements (1, 1), (2, 2), (3, 3), (4, 4). Probabilities of these elements are 0.1, 0.35, 0.05, 0.5 respectively. The probability of the event {X < 2.5, Y < 6} a. 0.45 b. 0.50 c. 0.55 d. 0.6
Q: A and B are two events. If P(A) = 0.20. P(B) = 0.31. P(A/B) = 0.62. Find P(A and B)?
A: Answer: From the given data, P(A) = 0.20 P(B) = 0.31 P(A|B) = 0.62
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A:
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A: Let us define some events A : a computer comes from factory A. B : a computer comes from factory B.…
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Q: A and B are two events. If P(A) =0.27, P(B) =0.30, P(A|B) =0.50 Find the P(A and B') ?
A: Answer: From the given data, P(A) = 0.27 P(B) = 0.30 P(A | B) = 0.50
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A: Given: Probability of success(p)=0.25Number of jobs(n)=3
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A: Given: P(A) = 0.6 P(B) = 0.4 P(A and B) = 0.2 Plug in all the given values in the above formula.
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Q: For events A, B, and C, we have the following probabilities: P(A) 0.7, P(B) = 0.5, P(C) = 0.3, P(A…
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A: Given that : Sample size (n) = 3 P = 0.7 By using binomial distribution approximation we get.
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A: a) The union probability for any two events A and B is defined as P(A ∪ B) = P(A) + P(B) – P(A ∩…
Q: Assume the following probabilities for two events, A and B: P(A) = 0.50, P(B) = 0.70, P(AUB) = 0.85…
A: Answer: - Given Two events A and B: P(A) = 0.50, P(B) = 0.70, and P(A∪B) = 0.85…
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A: We know that, ∑p = 1 P(A) + P(B) + P(C) + P(D) = 0.25 + 0.15 + 0.35 +0.3 = 1.05
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Q: Find P(A or B or C) for the given probabilities. P(A) = 0.33, P(B) = 0.24, P(C)= 0.19 P(A and B) =…
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Q: Two events A and B have the following probabilities: P (A) = 0.4, P (B)= 0.5, and %3D P (A and B) =…
A: Given that P(A) = 0.4, P(B) = 0.5 and P(A and B) = 0.3
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Q: Events A and B are independent. Find the indicated ProbabilityP(A) = 0.02P(B) = 0.27P(A and B) =
A: Given data A and B are independent P(A) = 0.02 P(B) = 0.27 P(A and B) =P(A) x P(B) = 0.02 x 0.27…
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- Given two events G and H, the probabilities of each occurring are as follows: P(G) = 0.25; P(H) = 0.3; P(H AND G) =0.1. Using this information: Find P(H OR G). Type answer with 0 in front of decimal to 2 places. If answer is like .2, type 0.2 not .2 or 0.20.Calculating the probability of a single event having multiple conditions requires adding the fractional probabilties of each condition together. What is the probabilty of a single event whose two conditions have a probability of: 1/2 and 1/10 Possible Answers.. 6/10 reducing to 3/5 3/10 1/20 2/12 reducing to 1/6Based on a survey, assume that 33% of consumers are comfortable having drones deliver their purchases. Suppose we want to find the probability that when six consumers are randomly selected, exactly three of them are comfortable with the drones. What is wrong with using the multiplication rule to find the probability of getting three consumers comfortable with drones followed by three consumers not comfortable, as in this calculation: (0.33)(0.33)(0.33)(0.67)(0.67)(0.67) = 0.0108? Choose the correct answer below. A. The event that a consumer is comfortable with drones is not mutually exclusive with the event that a consumer is not comfortable with drones. B. The probability of the second consumer being comfortable with drones cannot be treated as being independent of the probability of the first consumer being comfortable with drones. O C. There are other arrangements consisting of three consumers who are comfortable and three who are not. The probabilities corresponding to those other…
- Just need work shown. :)All human blood can be "ABO-typed" as one of O, A, B, or AB, but the distribution of the types varies a bit among groups of people. Here is the distribution of blood types for a randomly chosen person in a country. Blood type A National probability 0.43 0.12 AB ? (a) What is the national probability of type AB blood? O 0.41 (b) Maria has type B blood. She can safely receive blood transfusions from people with blood types O and B. What is the probability that a randomly chosen person from this country can donate blood to Maria?A company buys microchips from three suppliers I, II and III. Supplier I has a record of providing microchips that contain 10% defective; supplier a defective rate of 5% and supplier III has a defective rate of 3%. Suppose 10%, 40% and 50% of the current supply came from suppliers I, II and III, respectively. If a randomly selected microchip is defective, what is the probability that it came from supplier II? Express your answer accurate to two decimal places. O 48 O..40 O something else O 44 O 41
- Let the random variable X denote the number of girls in a five-child family. If the probability of a female birth is 0.5, find the following probabilities. (a) Find the probability of 0, 1, 2, 3, 4, and 5 girls in a five-child family. (Round your answers to three decimal places.) P(0 girls) = P(1 girl) = P(2 girls) = P(3 girls) = P(4 girls) = P(5 girls) = (c) Compute the mean and the standard deviation of the random variable X. (Round your standard deviation to three decimal places.) mean __ girls standard deviation __ girlsHI! HELP ME WITH THIS PLEASE. THANK YOU VERY MUCH! The following hybrids are produced when white snowy owls are mated with brown barn owls: white barn owls, brown snowy owls, white snowy owls, and brown barn owls. The probabilities for each are 1/5, ¼, 9/20, and 1/10, respectively. If 9 owls are selected from this batch, find the probability that 2 are brown barn owls, 3 are white snowy owls, 1 is a brown snowy owl, and 3 are white barn owls.Obstetrics Suppose that infants are classified as low birthweight if they have a birthweight <2,500 g and as normal birthweight if they have a birthweight 22,500 g. Suppose that infants are also classified by length of gestation in the following five categories: <28 weeks, 28-31 weeks, 32-35 weeks, 36 weeks, and 237 weeks. Assume the probabilities of the different periods of gestation are as given in the table below. Length of gestation <28 weeks Probability. 0.006 0.010 28-31 weeks 32-35 weeks 36 weeks 0.035 237 weeks 0.900 The following conditional probabilities are given: assume that the probability of low birthweight is 0.948 given a gestation of <28 weeks, 0.700 given a gestation of 28-31 weeks, 0.432 given a gestation of 32-35 weeks, 0.202 given a gestation of 36 weeks, and 0.028 given a gestation of 237 weeks. (a) What is the probability of having a low birthweight infant? (Round your answer to four decimal places. Hint: Use the Law of Total Probability.) 0.06612 0.049 (b) Show…
- Agroup consists of 5 COE, 4 IE, and 6 MEE students. In a randomly selected team of 7 students, what is the probability that all 4 IE students and at least 1 MEE student are selected? O A. 0.1034 O B. 0.2571 OC. 0.5834 OD. 0.0241Probabilities of event A and B are P(A)= and P(B)== respectively. If 3 1. P(AUB)=, determine, 10 %3D (a) whether A and B are mutually exclusive (b) whether A and B are independent.Factories A and B produce computers. Factory A produces 2 times as many computers as factory B. The probability that an item produced by factory A is defective is 0.033 and the probability that an item produced by factory B is defective is 0.031. What is the probability that a computer comes from Factory A?Answer:A computer is selected at random and it is found to be defective. What is the probability it came from Factory A?Answer:
