q 8)a.b.c Chapter 7 Homewc × 1 D) Chapter 7 Homewox Standard Deviation × 8.3-Co dav/pid-4932547-dt-conten...
Find the expected value, μ, and standard deviation, σ, for a binomial random variable with each of the following values of n and p. (Round all answers for σ to four decimal places.) (a) n = 50, p = 1/2. μ = σ = (b) n = 300, p = 1/4. μ = σ = (c) n = 1000, p = 1/5. μ = σ = (d) n = 1, p = 0.3. μ = σ = (e) n =...
1. Let X~b(x; n, p) (a) For n 6, p .2, find () Prx> 3), (ii) Pr(x23), (ii) Pr(x (b) For n = 15, p= .8, find (i) Pr(X-2), (ii) Pr(X-12), (iii) Pr(X-8). (c) For n 10, find p so that Pr(X 2 8)6778. く2). 2. Let X be a binomial random variable with μ-6 and σ2-2.4. Fin (a) Pr(X> 2) (b) Pr(2 < X < 8). (c) Pr(Xs 8). 1. Let X~b(x; n, p) (a) For n 6, p...
No a,b needed. please do c and d with clear steps A mixture of m univariate Gaussians has the PDF: X(x) - where each pi 0 and Σ-i pi-1, and N(x; μ, σ*) = (2πσ2)-1/2 exp (-(x-p?/(2σ2)) exp (-(x-μ)2 a) How many parameters does a mixture of m Gaussians have? b) Let xi, , Vn be n observations drawn from a mixture of m Gaussians. Write down the log-likelihood function. Hint: it should involve two summations c) Let 1 k...
please work out parts b,c,d with clear steps thanks A mixture of m univariate Gaussians has the PDF: X(x) - where each pi 0 and Σ-i pi-1, and N(x; μ, σ*) = (2πσ2)-1/2 exp (-(x-p?/(2σ2)) exp (-(x-μ)2 a) How many parameters does a mixture of m Gaussians have? b) Let xi, , Vn be n observations drawn from a mixture of m Gaussians. Write down the log-likelihood function. Hint: it should involve two summations c) Let 1 k < m....
"1",4.69816621546105 "2",4.44756510829146 "3",6.84100846766469 "4",7.01358258791867 "5",3.12935822296976 "6",5.14762683649335 "7",2.54905695207479 "8",4.06103182893184 "9",2.48237691955398 "10", 6.2004516591676 "11", 3.01735627817734 "12", 3.54398983209343 "13",5.02652010457958 "14", 5.94118091122925 "15", 7.01208796523191 "16",1.78016831028813 "17",4.33834121978255 "18", 8.93218857046722 "19", 8.43778411332812 "20",8.85822711493131 "21",4.75013154193281 "22", 9.31373767405901 "23",4.09575976019349 "24",2.74688111585186 "25", 3.8040095716617 26",9.34905953037803 "27", 5.87804953966622 "28",7.30637945593767 "29",7.14701470885807 "30",4.48962722844458 "31", 5.04849646123746 "32", 3.97515036133807 "33", 5.32546715405807 "34",8.17769559423788 "35", 6.42260496868865 "36",7.81161965525343 "37",9.8499408616349 "38",9.93608614628273 "39",8.04555405523207 "40",4.14121187997945 "41",5.19842955121368 "42",6.43976800531653 "43", 5.06797870826443 "44",3.79022295456759 "45",8.64229620362652 "46",10.7203765104341 "47",5.45008418851375 "48",4.96026223624637 "49",3.35515355305645 "50",4.3593298786236 Problem 2: Load in the file "data.csv". Assume that this is a random sample from...
Let X be normally distributed with mean μ = 22 and standard deviation σ = 16. [You may find it useful to reference the z table.] a. Find P(X ≤ 2). (Round "z" value to 2 decimal places and final answer to 4 decimal places.) b. Find P(X > 6). (Round "z" value to 2 decimal places and final answer to 4 decimal places.) c. Find P(2 ≤ X ≤ 26). (Round "z" value to 2 decimal places and final...
Let X be normally distributed with mean μ = 13 and standard deviation σ = 4. a. Find P(X ≤ 2). (Round "z" value to 2 decimal places and final answer to 4 decimal places.) b. Find P(X > 4). (Round "z" value to 2 decimal places and final answer to 4 decimal places.) c. Find P(7 ≤ X ≤ 12). (Round "z" value to 2 decimal places and final answer to 4 decimal places.) d. Find P(10 ≤ X...
Let X be normally distributed with mean μ = 137 and standard deviation σ = 20. [You may find it useful to reference the z table.] a. Find P(X ≤ 100). (Round "z" value to 2 decimal places and final answer to 4 decimal places.) b. Find P(95 ≤ X ≤ 110). (Round "z" value to 2 decimal places and final answer to 4 decimal places.) c. Find x such that P(X ≤ x) = 0.340. (Round "z" value and...
Suppose X is a Normal random variable with with expected value 16 and standard deviation 1.05. We take a random sample of size n from the distribution of X. Let X be the sample mean. Use R to determine the following: a) Find the probability P(X>16.4) b) Find the probability P(X >16.4) when n 9 c) Find the probability P(X>16.4) when n = 36| d) What is the probability P(15.6 <X <16.4) when n 36? e) What is the standard...
6. Let X be the continuous random variable denoting the probability that the Game- cocks baseball team will qualify for this year's College World Series. Assume that the probability density function (pdf) of X is given by J(x)-Ca () for 0Szs1, where C is a constant of proportionality that makes f (a) Find the appropriate value of C. Then plot the PDF. (b) Find PriX> 8). (c) Find the mean, p, of X. (d) Find the standard deviation, σ, of...