Determine the following: (a) The 95th percentile of the chi-squared distribution with v = 11 (Round...
Please Help with BOTH 1) 2) Determine the following: (a) The 95th percentile of the chi-squared distribution with v 7 (Round your answer to three decimal places.) (b) The 5th percentile of the chi-squared distribution with v 7 (Round your answer to three decimal places.) (c) P(11.689 2 s 38.076), where2 is a chi-squared rv with v 23 (d) P<14.611 orx2 >37.652), where2 is a chi-squared rv with v = 25 You may need to use the appropriate table in...
Which of the following statements are true about the percentiles of a chi-squared distribution with 20 degrees of freedom? The 10th percentile is 12.443 The 5th percentile is 31.410 The 95th percentile is 10.851 The 90th percentile is 37.566
(a) Let X, have a chi-squared distribution with parameter V, and let X, be independent of X, and have a chi-squared distribution with parameter vz. Show that X, + X, has a chi-squared distribution with parameter v, + V Let Y = X1 + Xy. Identify the correct expression for Fly). Fyly) = (f1 +49 (0) BM={{1*(**) 2*3)**- _jei OFW - 1 -{{49)..:@) ib) dx1 FY) = -xq12 dx + -*2/20 1²ax 2 1/2 O Fy(y) :{"(****): 19). x 22...
(e) the 99th percentile of the F distribution with V2 = 8, V2 = 15 (Round your answer to two decimal places.) (f) the 1st percentile of the F distribution with v2 = 8, V2 = 15 (Round your answer to three decimal places.) (9) P(FS 9.01) for v2 = 5, v2 = 3 (Round your answer to two decimal places.) (h) P(0.207 3 F34.00) for V1 = 12, V2 = 6 (Round your answer to two decimal places.)
9. The Student t, the chi-squared, and the F distributions Use the following Distributions tool to help you answer the following questions. 0123Chi-SquareF DistributionNormalt DistributionUniform Select a Distribution Suppose that random variable t follows a Student t distribution with degrees of freedom v = 21. E(t) is--------------, and V(t) is--------------. t0.01, 21 =------------------- P(t > 0.859) = -------------------- Suppose that random variable χ2 follows a chi-squared distribution with v = 9. E(χ2) =------------, and V(χ2) = ---------------- . χ2...
21 (1 point) If Y X and every Xi is i.i.d with a chi-squared distribution with 14 degrees of freedom, find the MGF of Y М()- What is the distribution of Y? Select all that apply. There may be more than one correct answer. А. gатта(а - 147, 8 В. датта(а — 2, В — 294) с. датта(а — 1,8— 1/147) D. gamma(a 1, B 1/294) E. chi squared(df 294) F. еzрoпential(A — 204) G. exponential(A 147) H. chi squared(df...
Find the following chi-square distribution values from the chi-square distribution table. (Round your answers to three decimal places.) (a) χ20.05 with df = 5 (b) χ20.025 with df = 15 (c) χ20.975 with df = 10 (d) χ20.01 with df = 20 (e) χ20.95 with df = 18
The weekly demand for propane gas (in 1000s of gallons) from a particular facility is an rv X with the following pdf f(x)-21 - 0 1 sxs 2 2 otherwise (a) Compute the cdf of X. 0 F(x)2 2 > X (b) Obtain an expression for the (100p)th percentile n(p) 2 What is the value of μ? (Round your answer to three decimal places.) 2 (c) Compute E(X) and V(X). (Round your answers to four decimal places.) E(X) = 2...
Suppose that χ2 follows a chi-square distribution with 20 degrees of freedom. Compute P (χ2 ≤ 24). Round your answer to at least three decimal places. Suppose again that χ2 follows a chi-square distribution with 20 degrees of freedom. Find k such that P(χ2 >k) = 0.1. Round your answer to at least two decimal places. Find the median of the chi-square distribution with 20 degrees of freedom. Round your answer to at least two decimal places.
X ~ N(60, 11). Suppose that you form random samples of 25 from this distribution. Let X-bar be the random variable of averages. Let ΣX be the random variable of sums. a. Give the distribution of X bar (Enter an exact number as an integer, fraction, or decimal.) b. find the probability. (Round your answer to four decimal places.) P(X < 60) = c. Find the 40th percentile. (Round your answer to two decimal places.) d. find the probability. (Round...