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- The percentage of vehicles on a freeway that violate the speed limit is π = 0.88 You randomly clock n = 80 vehicles. 32) The probability that between 66 and 70 vehicles violate the speed limit is P(66 ≤ x ≤ 70) = a 0.4350 b 0.4438 c 0.4529 d 0.4621Show your complete solution.The number X of days in the winter months that a carpenter cannot work because of the weather hasthe probability distribution of:
- A random variable X has the probability function as given in the table below. Suppose the experiment associated with X is performed 1000 times, and after each experiment we record the outcome of the experiment X = 1, 2, or 3 to obtain the sample X1,.,X1000. What is the expected value of: n E Xi i=1 P(X) 1 0.6 0.3 0.1 2. 3.Find p(x) for x=0,1, 2, 3, 4, 5.Q 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 0.5
- Time left 1:08:15 Two numbersx and y are selected at random between 0 and 1. Let the events A, B and C be defined as follows: A (x> 1/3), B = (y> 2/3} and C = (x>y). Please find the probability of A given C. О a. 1/4 OБ. 3/4 Oc. 5/9 Od. 8/9 Next page age Jump to.. unular amek için buraya yazınNoneIToday's practice The following circuit operates if and only if there is a path of functional devices from the left to the right. Assume the devices fail independently and that the probability of failure for each device is 0.9. What is the probability that the circuit operates? TI 3 T2 4. 5.
- None2. The number of meteors found by a radar system in any 30-second interval under specified a. What is the probability that at least one meteor is found in a one-minute interval? ne meteors appear randomly b. Determine x such that the probability no meteor is found in x-minute interval is 0.02. UTM M UTM UTM c. If there is no meteor appear after two-minute interval, what is the probability that it UTM will appear in the next one and a half-minute interval? m UTMDetermine if the random variables X and Y are statistically INDEPENDENT or not; show solution.