f(x), a continuous probability function, is equal to 1/20 , and the function is restricted to 3 ≤ x ≤ 23. What is P (3 < x <23)?
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A: here use normal distribution table
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f(x), a continuous
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- Suppose that you enter a fantasy basketball league. Suppose that the 2022 team budget, say X, is randomly drawn from a uniform distribution on the interval [90, 210], where the unit is U.S. million dollars. In addition, suppose that after the value X = x has been observed (90 < x < 210), the 2023 team budget, say Y, is randomly drawn from a uniform distribution on the interval [x, 210]. In other words, the 2023 budget is at least as large as the 2022 budget. (a) For any given value of x (90 < x < 210), obtain E[Y|X = x]. (b) In view of part (i), obtain E[Y|X]. (c) What is the difference between E[Y|X = x] and E[Y|X]? (d) Obtain E[Y]. That is, what is the expected value of your 2023 fantasy basketball budget? (e) Golden State Warriors won the 2022 NBA finals. Their estimated 2022 payroll is about $194 million. Would your 2023 fantasy basketball budget be on average larger than Golden State Warriors' 2022 payroll? Explain briefly.The duration, x, of a monthly faculty meeting is uniformly distributed between 30 and 80 minutes. Which of the following statements is true? (choose all that apply). a. Prob (x>80) = 0 b. Prob (x<85) = 1 c. Prob (x>35) = 1 d. Prob (x <30) < 0If a < c < b and f(c) is the greatest value on the interval (a, b), then f(c) is a ....
- 3. Let N = R 2 0 and 3 = Borel set of N. Does P given as: For each interval I,let de-dx f(x; X) defined a probability measure on (N.3)? Justify your claim. AI VDetermine the required value of the missing probability to make the distribution a discrete probability distribution. P(x) - 0.22 4 ? 0.46 6. 0.16 ... P(4) = (Type an integer or a decimal.)2. The probability in minutes of being waited on in a large chain restaurant is given by the frequency function f(t) = t³;0< t< 3. What is the probability of being waited on 81 between 1 and 2 minutes?
- Let f(x,0) = ex-1 0Use the Mean Value Theorem and find all possible values of c on the given interval. f(x) = 4x1/3, [0, 1] %3! C = 3/2 0.19 C= 4 3/2 0.77 O c-0.33 C = C = 4 1/3 1//3Determine k so that the function below is a joint probability function. 1 f(x, y) = k(2 − x)(1 −y) 0≤x≤2,0 ≤ y ≤1 {" 0 elsewhereThe following function is a cumulative distribution function. x < -10 0.1510Find a number c that satisfies the conclusion of the Mean Value Theorem for f(x) = x +x – 1 on the interval [0, 2] %3D V3 1 2. V3 V3 2. O V3The amount of time it takes Alice to make dinner is continuous and uniformly distributed between 10 minutes and 46 minutes. What is the probability that it takes Alice more than 42 minutes to finish making dinner given that it has already taken her more than 32 minutes in the making of her dinner?SEE MORE QUESTIONSRecommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
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