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A random variable Q has pdf ?q(q) = { − 2 ≤ Q ≤ 2; 0 else} . (1) Find ?[Q], and Var(Q). (2) Let Z = Q2. Find ?z(Z). (3) Find P{Q > 1} (4) Find conditional PDF of Q given B= {Q > 1} i.e., find ?Q|?(Q). 13
Suppose X, X2,... ,Xn represent a random sample from the pdf f(x;0) 2/02, 0 < x 〈 θ. Note, this pdf does not follow the regularity conditions. Nevertheless, find the MLE θη f . Make sure ElPn or a sample siZe n
10:44 A. FSTM3074 PC2 0.pdf < [TOTAL: 8 MARKS] Question 2 a) Given that p = log 5, q = log2, express the following terms of p and/or q. 1) log, 10 0 (2 marks) il) log8 (2 marks) ill) loga 2.5 III (2 marks) Cini futbou
An agricultural economist estimated the following linear demand function for milk in Queensland: Q = 857 - 18.1P where Q represents the number of two litre milk bottles demanded per day in thousands and P represents the price of these bottles in dollars. If on a given day the two litre milk bottle retails for $3.25, predict the number of two litre milk bottles demanded in thousands (to nearest whole thousand).
please show steps Q.8 Let X and Y be continuous rvs with the joint pdf f(x, y) = (3/2)xy, for 0 < x, 0 < y, 0 < x + y < 2 and 0 otherwise. (a) Find E[X + Y ] and E[X − Y ] (b) Find E[XY ] (c) Find E[Y |X = x] and E[X|Y = y]. (d) Find Cov[X, Y ]
A) Q > 4 B) Q < 4 C) Q > 8 D) Q< 8 The graph shows a firm's average total cost (ATC) and marginal cost (MC) curves. At what output level does the firm have economies of scale? 12 11 10 MC ATC 9 8 Price $/Q 4 3 2 - 0 0 2 3 4 5 6 7 8 10 11 12 13 14 15 16 Quantity
NIS 4) The joint pdf of X and Y is 1, 0<x<1, 0<y< 2x, fx,8(8,y) = { 0, otherwise. otherwise. or 1 (Note: This pdf is positive (having the value 1) on a triangular region in the first quadrant having area 1.) Give the cdf of V = min{X, Y}. x
㈠Werksheet_02-pt IYS-113-드 고 Worksheet-02(1).pdf >< --+ < > Ο file:///C:/Uscrs/kelsc/ 02%20(1).pdf Physics 113 Worksheet 2 Spring 2019 Problem 1 Conider tbe following Capacitor Network: C3 C2 C4 when C1 = 2.2pF C3 = 33pF Let VAB = 121, (3 Points) Calculate the Equivalent Capacitance, Gy . (3 Points) Caleulate the Charge, , ono3 (3 Points) Calculat the Voltage , at Teinal J (with respect to Ground). O Type here to search 8:32 PM 124/201g17
all detail 2604 (1).pdf Q (C) CH (D) CH,CHCH(CH)2 (E) (CHsh 10) H2C-0-C-R 0 HC-O-C-R 0 H2C-O-P-O-R Phospholipids of the general formula shown above are arranged in lipid bilayers visualized as follows: ← polar heads The polar heads which are exposed to an aqueous environment represent the (A) fatty acid group R only (B) fatty acid groups R and R2 (C) phosphate diester function (D) carbonyl function of the carboxylic acid (E) glycerol backbone
Consider the joint pdf of the random variables X and Y : 1/8, if 0 ≤ y ≤ 4, y ≤ x ≤ y + 2 f (x, y) = 0, otherwise (i) Draw the region where f (x, y) ̸= 0. Shade its area. (ii) Compute the probability P (X + Y ≤ 2). (iii) Compute the marginal pdf f1(x) of X. Specify clearly its support, i.e., the subset of the real line such that f1(x) ̸= 0. (iv)...