For two independent events A and B, if P(AN B) = 0.0048 and P(B) = 3P(A), then P(A) is equal to: O 0.2 None of these O 0.7 O 0.04
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- Your friend is pregnant with non-identical triplets. Calculate the probability of each possible combination of the number of sons and daughters that she could have. Note that the birth order is not specified. Express all answers as fractions reduced to the lowest terms, with no spaces (e.g., 1/6). The probability that she will have 3 sons is . The probability that she will have 3 daughters is . The probability that she will have 2 sons and 1 daughter is . The probability that she will have 1 son and 2 daughters is33 S(x – 1)¬5dx -1/5If S = {a, b, c} with P(a) = 6P(b) = 7P(c), find P(a).
- Sarah and Thomas are going bowling. The probability that Sarah scores more than 175 is 0.5 , and the probability that Thomas scores more than 175 is 0.1 . Their scores are independent. Round your answers to four decimal places, if necessary. (a) Find the probability that both score more than 175 . (b) Given that Thomas scores more than 175 , the probability that Sarah scores higher than Thomas is 0.4 . Find the probability that Thomas scores more than 175 and Sarah scores higher than Thomas.You are allowed to take a certain test three times, and your final score will be the maximum of the test scores. Your score in test k, where k = 1, 2, 3, takes one of the values from k to 10 with equal probability 1/(11 − k), independently of the scores in other tests. What is the PMF of the final score?2. Calculate Fn, when n=0, using the Binet form.
- ON QUESTION F HOW WOULD I SHOW THE EVENT IN EXCEL FORMULA?Chris has just received test results from a patient named Cardi who is infected with a mystery disease. The accuracy of the test is as follows:The probability the test will be positive if Cardi is infected is p, and the probability the test will be positive if Cardi is not infected is q. The proportion of the population that is infected is π. The test comes back positive. Chris has no information about the disease and related symptoms. Suppose Chris does not have a true gasp of the base rates. Chris thinks that the base rate is γπ (gamma*pi), with γ is less than or equal to π. This is to make sure that Chris's belief about the prevalance of the mystery disease is no more than 100%. If p=0.95, 1=0.05, π=1, what must be the value of γ if Chris thinks that the probability Cardi has the disease is 0.9? A. 3.57 B. 0.5 C. 1.05 D. 3.214 Please provide explanationSuppose the following information is known P[A] = 0.8, P[B] = 0.5, P[A and B] = 0.40. The values for P[B|A] and P[A|B] are respectively: (a) It cannot be determined. (b) 0.65, 0.75 (c) 0.65, 0.70 (d) 0.50, 0.80 (e) 0.50, 0.75
- Find x E {0, 1,..., 12} for which 1010 = x in Z13.Event A is my wife cooking dinner tonight. It has been determined that P(A) = 0.15. What is P(not A)?EXS: Un fair tossing A coin which has which has probability p of coming up Heads is tossed three times - Levt X b the Heads observed. what is p(x=1) ? number of 2 a. 3C1-p/p ² 2 6₁ PCI-p] ² C - None of the other choices d 2. 318 3 (1-P) P
