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##### 4. Let X be & random variable with probability density functionJc for x = 1,2,5 f(c) = { 0 otherwiseFind the expected value of X. (b) Find the variance of X. c) Find the expected value of 2X + 3. (d) Find the variance of 2X + 3. (e Find the expected value of 3X 5X2 + 1,

4. Let X be & random variable with probability density function Jc for x = 1,2,5 f(c) = { 0 otherwise Find the expected value of X. (b) Find the variance of X. c) Find the expected value of 2X + 3. (d) Find the variance of 2X + 3. (e Find the expected value of 3X 5X2 + 1,...

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##### Assuming that each atom that decays emits one alpha particle how many alpha particles are emitted per minute by 0.00401-g sample of 247Bk that is free from its decay products? The half-life of 247Bk is 1.40x10 and the mass of a 247Bk atom is 247.070 u.alpha particles min-1

Assuming that each atom that decays emits one alpha particle how many alpha particles are emitted per minute by 0.00401-g sample of 247Bk that is free from its decay products? The half-life of 247Bk is 1.40x10 and the mass of a 247Bk atom is 247.070 u. alpha particles min-1...

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##### QuestionIt is desired t0 compare the average amount of tire students with tattoo students without a tattoo exercise per weck Random and independent samples were selected and the data was analyzed in the Statistix software and the following printout was generated: Two- -Sample Tests for Exercise by TattooTattooMean 7.1167 47160 0.6088 6.6364 3.5395 0.7546 Difference 0.4803 4,4374 1.1060T-Tests for Mean Difference Null Hypothesis: difference Alternative Hyp: dlfference =Lower Upper Method Variance

Question It is desired t0 compare the average amount of tire students with tattoo students without a tattoo exercise per weck Random and independent samples were selected and the data was analyzed in the Statistix software and the following printout was generated: Two- -Sample Tests for Exercise by ...

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##### Almy DOML (2,%, =) in rcEIon noaltion 6"4=ltla Est) where F[ = splcl UcunMlenari- churet E(s v,#) = *+ #InGr" V ) Supixre Haln Ccc CEC mpesured Find the rate, #hich Ihe electric charge changing with rauect pointFindal Lnt naal

Almy DOML (2,%, =) in rcEIon noaltion 6"4=ltla Est) where F[ = splcl Ucun Mlenari- churet E(s v,#) = *+ #InGr" V ) Supixre Haln Ccc CEC mpesured Find the rate, #hich Ihe electric charge changing with rauect point Find al Lnt naal...

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##### A new radar system is being deployed to protect against hostile aircraft: If a hostile aircraft is present; the system detects it 99.5 percent of the time. If a hostile aircraft is not there, the system says there is a hostile aircraft present 2 percent of the time. We expect a hostile aircraft to be present 1/500 of the time. (@) If the radar system detects a hostile aircraft; what is the probability that a hostile aircraft is present? (5 points)(b) If the radar system does not detect a hostile

A new radar system is being deployed to protect against hostile aircraft: If a hostile aircraft is present; the system detects it 99.5 percent of the time. If a hostile aircraft is not there, the system says there is a hostile aircraft present 2 percent of the time. We expect a hostile aircraft to b...

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##### Question# 2 Moment about y-axis (My) of the region y = 6.6x2, y = 0 , x =4, * = 5 Solution:Question# 33.774x3 + 1Evaluate the integral: Solution:dx 2.65 6x4 + 6x - 1

Question# 2 Moment about y-axis (My) of the region y = 6.6x2, y = 0 , x =4, * = 5 Solution: Question# 3 3.77 4x3 + 1 Evaluate the integral: Solution: dx 2.65 6x4 + 6x - 1...

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##### (ISp) Indicate whether each of the following matrices is positive definite; positive semidefinite, negative semidefinite, negative, or indefinite. (Justify your answers_ either by manual calculations_ Or by using Matlab)A1Az =Az =

(ISp) Indicate whether each of the following matrices is positive definite; positive semidefinite, negative semidefinite, negative, or indefinite. (Justify your answers_ either by manual calculations_ Or by using Matlab) A1 Az = Az =...

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##### Question 143 pts3Find the third degree Taylor polynomial Tz (c)centered at a = 1 for the function f(c)Ts (2) = 3 _ 3( _ 1) + 3( _ 1)2 3(. - 1)3Tz (c) = 3 _ 32 + 322 313T3(c) = 3 + 3x + 3r? + 3.3Ts (.) = 3 + 3( - 1) + 6( - 1)2 + 18(c 1)3Ts(.) = 3 _ 3( _ 1) + 6(2 _ 1)2 _ 18( _ 1)3

Question 14 3 pts 3 Find the third degree Taylor polynomial Tz (c)centered at a = 1 for the function f(c) Ts (2) = 3 _ 3( _ 1) + 3( _ 1)2 3(. - 1)3 Tz (c) = 3 _ 32 + 322 313 T3(c) = 3 + 3x + 3r? + 3.3 Ts (.) = 3 + 3( - 1) + 6( - 1)2 + 18(c 1)3 Ts(.) = 3 _ 3( _ 1) + 6(2 _ 1)2 _ 18( _ 1)3...

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##### (1 point) The weights of a random sample of cereal boxes that are supposed to weigh 1 pound are given below: Estimate the standard deviation of the entire population with 92.4% confidence_ Assume the population is normally distributed.0.99 0.98 0.98 1.04 0.99 0.99 0.95LCL =UCL =

(1 point) The weights of a random sample of cereal boxes that are supposed to weigh 1 pound are given below: Estimate the standard deviation of the entire population with 92.4% confidence_ Assume the population is normally distributed. 0.99 0.98 0.98 1.04 0.99 0.99 0.95 LCL = UCL =...

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##### (c) Regression (1) can viewed regression which allows one perform encompassing test: What is an encompassing test? When do you use such test? (5 marks)The EViews output for regression (1) is shown below:Dependent Variable: RP Method: Least Squares Sample (adjusted): 198402 200301 Included observations: 76 after djustmentsVariableCoefficientStd. Errort-StatisticProb0.020625 0.755236 2.674980 0.559120 0.561107 2.32E-060.024692 0.151884 1.828166 0.291538 1.485599 6.31E-060.835312 4.972439 -1.463

(c) Regression (1) can viewed regression which allows one perform encompassing test: What is an encompassing test? When do you use such test? (5 marks) The EViews output for regression (1) is shown below: Dependent Variable: RP Method: Least Squares Sample (adjusted): 198402 200301 Included obser...

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##### 5. If f(z,y) = 12 4cy - +y3 + 4y, find the extrema of f

5. If f(z,y) = 12 4cy - +y3 + 4y, find the extrema of f...

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##### The RECURSION FORMULA ofthe differential equation 2=0 is0A Cn+[08 Cn+1Oc Cn+l0 0.None of theseOE Ci+l

The RECURSION FORMULA ofthe differential equation 2=0 is 0A Cn+[ 08 Cn+1 Oc Cn+l 0 0.None of these OE Ci+l...

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##### Let n â‚¬ N. Deline d : Rr xR"[Oo) byd(z,y) max Ick Yk|: 1Sk2nShow that (R" d) is metric space:

Let n â‚¬ N. Deline d : Rr xR" [Oo) by d(z,y) max Ick Yk|: 1Sk2n Show that (R" d) is metric space:...

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##### L For 1 of Maryland there recent were period exactly Dejodtoten o 8 Gucricanes years there ward 530 # U Obased 740 the probability data from "uhe 1 University yer

L For 1 of Maryland there recent were period exactly Dejodtoten o 8 Gucricanes years there ward 530 # U Obased 740 the probability data from "uhe 1 University yer...

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##### DNA mRNA tRNA AAG'GmRNA codon UGG GUA UGA CACAmino AcidDNA code (triplet) CGT AAC ACTmRNA codonAmino Acid

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##### Use your graphing utility to enter each side of the equation separately under $y_{1}$ and $y_{2} .$ Then use the utility's TABLE or GRAPH / feature to solve the equation.$$2 x+3(x-4)-4 x-7$$

use your graphing utility to enter each side of the equation separately under $y_{1}$ and $y_{2} .$ Then use the utility's TABLE or GRAPH / feature to solve the equation. $$ 2 x+3(x-4)-4 x-7 $$...

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##### (II) If a compressive force of $3.6 \times 10^{4} \mathrm{N}$ is exerted on the end of a 22 -cm-long bone of cross-sectional area $3.6 \mathrm{cm}^{2},(a)$ will the bone break, and $(b)$ if not, by how much does it shorten?

(II) If a compressive force of $3.6 \times 10^{4} \mathrm{N}$ is exerted on the end of a 22 -cm-long bone of cross-sectional area $3.6 \mathrm{cm}^{2},(a)$ will the bone break, and $(b)$ if not, by how much does it shorten?...

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##### BIO Breathing Observe yourself breathing and count the number of times you inhale per second. During each breath you probably inhale about 0.50 L of air. How many oxygen molecules do you inhale if you are at sea level?

BIO Breathing Observe yourself breathing and count the number of times you inhale per second. During each breath you probably inhale about 0.50 L of air. How many oxygen molecules do you inhale if you are at sea level?...

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##### A tennis player plays with an equal opponent. What is morelikely for him: to win one game out of two or two out of four?

A tennis player plays with an equal opponent. What is more likely for him: to win one game out of two or two out of four?...

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##### 12) Given that J x dx =1 Jx =- and J xdx = use these to find the average value fave the following function between the interval and a) f(x) = x2 Irom to b =b) f(x) =r+x from0 to b = 1e) f(x) =x+r _1 Arom-]to b =900DashboardCalendarTo DoNotificationsInbox

12) Given that J x dx =1 Jx =- and J xdx = use these to find the average value fave the following function between the interval and a) f(x) = x2 Irom to b = b) f(x) =r+x from 0 to b = 1 e) f(x) =x+r _1 Arom -]to b = 900 Dashboard Calendar To Do Notifications Inbox...