
Josh consistently remembers that
a. Explain to Josh how
b. Write an equation relating

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Chapter 4 Solutions
Mathematics for Elementary Teachers with Activities (5th Edition)
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A First Course in Probability (10th Edition)
Calculus: Early Transcendentals (2nd Edition)
Thinking Mathematically (6th Edition)
Elementary Statistics (13th Edition)
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Pre-Algebra Student Edition
- A sample of 1,000 people was asked how many cups of coffee they drink in the morning. You are given the following sample information. Cups of Coffee Frequency 200 0 1 300 2 350 3 150 1000 Total Frequencies The expected number of cups of coffee that each person drinks in the morning is O 1.0 1.45 1.65 1.5arrow_forward1. [10] Suppose that X ~N(-2, 4). Let Y = 3X-1. (a) Find the distribution of Y. Show your work. (b) Find P(-8< Y < 15) by using the CDF, (2), of the standard normal distribu- tion. (c) Find the 0.05th right-tail percentage point (i.e., the 0.95th quantile) of the distri- bution of Y.arrow_forwardSuppose that the cumulative distribution function of the random variable X is x 6) = (c) P(-1arrow_forward-x² The normal distribution has p(x) = e 2 determine the CDF in terms Erf, mean and standard deviation.arrow_forwardlet θ = 17π over 12 Part A: Determine tan θ using the sum formula. Show all necessary work in the calculation.Part B: Determine cos θ using the difference formula. Show all necessary work in the calculation.arrow_forwardFind the probability in tossing a fair coin four times, there will appear a) 3H and 1T b) 2T and 2H using binomial distribution and assume coin has p(H)=1/3.arrow_forward== 4. [10] Let X be a RV. Suppose that E[X(X-1)] = 3 and E(X) = 2. (a) Find E[(4-2X)²]. (b) Find V(-3x+1).arrow_forwardStudents were asked to prove the identity (sec x)(csc x) = cot x + tan x. Two students' work is given.Student AStep 1:1/Cos x * 1/sin x = cot x + tan xStep 2: 1/cos x sin x = cot x + tan xStep 3: (cos^2 x + sin^2 x)/cos x sin x = cot x + tan xStep 4: cos^2 x/cos x sin x + sin^2x/cos x sin x= cot x + tan xStep 5: cos x/sin x + sin x/cos x = cot x + tan xStep 6: cot x + tan x = cot x + tan xStudent BStep 1: sec x csc x = cos x/ sin xStep 2: sec x csc x = cos^2x/cos x sin x + sin^2x/cos x sin xStep 3: sec x csc x = cos^2x + sin^2x/cos x sin xStep 4: sec x csc x = 1/cos x sin xStep 5: sec x csc x = (1/cos x), (1/sin x)Step 6: sec x csc x = sec x csc xPart A: Did either student verify the identity properly? Explain why or why not. Part B: Name two identities that were used in Student A's verification and the steps they appear in.arrow_forward2. [15] Let X and Y be two discrete RVs whose joint PMF is given by the following table: y Px,y(x, y) -1 1 3 0 0.1 0.04 0.02 I 2 0.08 0.2 0.06 4 0.06 0.14 0.30 (a) Find P(X ≥ 2, Y < 1). (b) Find P(X ≤Y - 1). (c) Find the marginal PMFs of X and Y. (d) Are X and Y independent? Explain (e) Find E(XY) and Cov(X, Y).arrow_forwardLet sinθ = 2√2/5 and π/2 < θ < πPart A: Determine the exact value of cos 2θ.Part B: Determine the exact value of sin(θ/2)arrow_forwardThe joint pdf of random variables X=1, 2 and Y=1, 2, 3 is P(X,Y)= X 10.05 Find (a) The value of k. (c) P(X>1, Y <2). Y 0.2 0.18 0.15] (b) the marginal probability function of X and Y. (d) Ex, Hyarrow_forwardThe conditional probability function for the random variables X and Y is 0 P(Y/X) = x0 [0.9 10.1 y 1 2 0.1 0 0.8 0.1 2 0 0.1 0.9. With P(x=0)=0.2, P(x-1)=0.4. Find P(X,Y), Hx, My, E(XY), OXY.arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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