Suppose an unbiased estimator a of a parameter e possesses a mound shaped distribution with E( ) = -12 and E( 2) = 169. Therefore, we can say that approximately 95% of the time a satisfies which of the following? -10 < Ô – 0 < 10 -26 < ô – 0 < 26 -15 < ô – 0 < 15 -5 < Ô – 0 < 5 -22 < ô – 0 < -2 -38 < Ô – 0 < 14
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- 5% Coupon 10% Coupon 15% Coupon Average Yield-to-Maturity of 5 Years to Maturity Bonds . 9.01% 9.03% Average Yield-to-Maturity of 8 Years to Maturity Bonds 9.47% . 9.28% I am having trouble finding the missing value for Maturity 5 through linear interpolation. YTM, x = 9.01% + [ (15-10)/(15-5) * (9.03%-x) ] I saw this solution but I have no idea when they got the answer 8.99% from that. Please help3. 7 8. 10 An ordinary (fair) coin is tossed 3 times. Outcomes are thus triples of "heads" (h) and "tails" (t) which we write hth, ttt, etc. For each outcome, let R be the random variable counting the number of tails in each outcome. For example, if the outcome is tht, then R (tht)=2. Suppose that the random variable X is defined in terms of R as follows: X=R-1. The values of X are given in the table below. tth hht hth thh ttt hhh htt tht Outcome Value of X 1 - 1 1 1 Calculate the values of the probability distribution function of X, i.e. the function py. First, fill in the first row with the values of X. Then fill in the appropriate probabilities in the second row. Value X of X Px (x) Submit A Continue © 2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center étv MacBook Air DII DD F10 80 F9 F7 F8 F6 F4 F5 F2 F3 公 云。 oloSuppose that x follows a chi-square distribution with 22 degrees of freedom. Use the ALEKS calculator to answer the following. (a) Compute P(x k) = 0.05. Round your answer to at least two decimal places. k= ]
- 2Prove the followinglearning.suny.edu/d21/le/content/460881/viewContent/15362845/View esc ! You are conducting a multinomial Goodness of Fit hypothesis test for the claim that the 4 categories occur with the following frequencies: Ho: PA= 0.4; PB = 0.3; pc = 0.15; pp = 0.15 Complete the table. Report all answers accurate to three decimal places. Category Observed Expected Frequency Frequency A B C D 40 28 ← 23 What is the chi-square test-statistin for this data? x² = 7 What is the P-Value? P-Value = 2 For significance level alpha 0.01, What would be the conclusion of this hypothesis test? O Fail to reject the Null Hypothesis O Reject the Null Hypothesis Report all answers accurate to three decimal places. Calculator 25 #3 $ 4 16. C Q Search securyBrowse % MacBook Pro 5 A - & 7 * 00 8
- Example 17.15. Let X1, X2, ..., X, be a random sample from a distribution with p.d.f. : ••.. (x)- f(x, 8) = e¯*-®),08. The time (in minutes) that it takes a car mechanic to replace a car battery is a random variable X that follows an exponential distribution with mean 15 minutes. a) Find P(14 < X < 22). Round off your answer to two decimal places. x 22 1 P(14 < X <22) = √₂/1² 15 e 15dx = P(x < 22) — P(x < 14) x 15 122 = e 15 22 1 - e 14 or 0.8 = = 22 14 = −e 15 + e15 = 0.16254≈ 0.16 - (1 – b) Find the 80th percentile. Round off to the nearest whole number. 1 X S 15 14 e 15 t e 15 dt X 0.8 = 1 e 15 X e 15 = = 0.2 14 22 = e 15 e 15 = 0.16 x — = ln (0.2). This gives x = 24.14156 15Q.4-525.2.1 The conditional probability distribution of Y given X = x is fy.0) = xe-y for y> 0, and the marginal probability distribution of X is a continuous uniform distribution over 0 to 10. a. Graph fyv) = xe¬w for y > 0 for several values of x. Determine: b. P(Y < 2|X = 2) d. E(Y |X = x) f. fr(y) c. E(Y | X = 2) e. fxy(x, y)Suppose that follows a chi-square distribution with 18 degrees of freedom. Use the ALEKS calculator to answer the following. (a) Compute P(x² k) = 0.05. Round your answer to at least two decimal places. k=06.2.8. Let X be N(0, 0), 0 <0 < x. (a) Find the Fisher information I(0). (b) If X₁, X2,..., Xn is a random sample from this distribution, show that the mle ofis an efficient estimator of 0. (c) What is the asymptotic distribution of √(-0)?SEE MORE QUESTIONS