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- Compute the probabilities for each random varlable x. (decimal form: hundredlhs) L Given the variable x and the frequency of Its occurrence P(X) f. 3 1. 2. 10 15 26 3. 20 10 4. 25 2. 5.14-2. Define Binomial Distribution. What is the probability of guessing correctly at least sin of the ten answers in a TRUE-FALSE objective test ? 2. TnesAnswe d and e
- 13. A continuous random variable is uniformly distributed between 200 and 220. a. What is the probability a randomly selected value will be greater than 215? b. What is the probability a randomly selected value will be less than 205? c. What is the probability a randomly selected value will be between 205 and 215? a. P(x > 215) = (Simplify your answer.) b. P(x< 205) = (Simplify your answer.) c. P(2052 e,f,gFind the mean of the given probability distribution. 16) In a certain town, 70% of adults have a college degree. The accompanying table describes th 16) probability distribution for the number of adults (among 4 randomly selected adults) who h college degree. P(x) X 0 0.0081 1 0.0756 2 0.2646 3 0.4116 4 0.2401Q P.6: On its way, a car meets 4 traffic lights, and the probability that each of them will be red is 0.5. Let X be a discrete random variable equal to the number of traffic lights that were green when the car arrived. X may take the values of 0, 1, 2, 3, 4. (Assume traffic lights are independent.) What is the probability distribution of X? The probability distribution of X is 3 4 p(x) 0.5 0.25 0.125 0.0625 0.0625 The probability of distribution of X is 3 p(x) 0.5 0.5 0.25 0.125 The probability of distribution of X is 3 4 p(x) 0.5 0.25 0.5 0.25 0.125 The probability distribution of X is 1 3 4 p(x) | 0.5 || 0.5 || 0.5 | 0.5 || 0.5 The probability of distribution of X is 3 4 p(x) || 0.0625 0.0625 0.125 0.25 0.5ض22Questior Let X; - N(3, 4) and suppose that we are going to observe X = {X1, X2, X3, X4, X5, Xg}. Calculate the sample mean and variance for x = {4.3, 5.8, 4.8, 9.8, -0.4, 7.2}. What is the probability of getting a sample mean at least as extreme (that is, greater than) as what we have here? Is the probability of getting a sample variance at least as extreme as the one we have calculated less than 0.1?SEE MORE QUESTIONS