Given the normally distributed random variable X with o = 10 and P(X < 40) = .0080, find u.
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- Let x be a random variable that represents the percentage of successful free throws a professional basketball player makes in a season. Let y be a random variable that represents the percentage of successful field goals a professional basketball player makes in a season. A random sample of n = 6 professional basketball players gave the following information. Σx = 438, Σy = 275, Σx2 = 32264, Σy2 = 12727, Σxy = 20231, and r ≈ 0.827. x 67 64 75 86 73 73 y 42 39 48 51 44 51 Use a 5% level of significance to test the claim that ρ > 0. (Round your answers to two decimal places.) t critical t Conclusion Reject the null hypothesis, there is sufficient evidence that ρ > 0. Reject the null hypothesis, there is insufficient evidence that ρ > 0. Fail to reject the null hypothesis, there is insufficient evidence that ρ > 0. Fail to reject the null hypothesis, there is sufficient evidence that ρ > 0. Se ≈ 3.1191, a ≈ 6.564, b ≈ 0.5379, and x ≈ 73.000. Find…Let n be a random sample from the exp(0) Show that X is a sufficient statistic forFind variance of Y1
- The distribution of the binomial random variable (X) has the following parametes: P=0,3 and n=9. Determine P(X>2) OA. 0.9160 OB. 0,1960 OC. 0,1715 OD. 1For a random variable X, suppose that E[X] = 1 and Var(X) = 5. Then %3D (a) E[(2 + X)²] = (b) Var(2 + 3X) = Netsu rtiol orodit on this problemSuppose a random variable X has a Bernoulli distribution for which the parameter O is unknown (0Suppose that X₁, X₂, Xn and Y₁, Y2, . Yn are independent random samples from populations with means ₁ and ₂ and variances of and o2, respectively. Show that X - Y is a consistent estimator of μ₁ - 2.Let X be a normal random variable with = 10 and = 2. Find the values of P(X < 11) b. P(X > 8) P(7 < X < 9)Let X and Y be independent random variables with μX = 3, σX = 3, μY = 2, and σY = 3. Find the mean and variance of X – Y. The mean of X - Y is . The variance of X - Y is .Ee.6.Suppose X is a normal random variable with mean u = 17.5 and o = 6. A random sample of size n = 24 is selected from this population. a. Find the distribution of b. Find P(X < 14) and P(X < 14) Find P(15Let X1, X2......,X100 be independent binomial random variables with parameter p=0.25. The sample mean is : (First image) a. Find the value of E(X) and Var(X). b. State the sampling distribution of X and explain why has the sampling distribution stated. c. Find P(X<25.5). d. Find (second image)Recommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
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