Homework Answers
NOTATION - 
6 numbers can be chosen from 60 in 
A bet of 6 numbers can win with probability 
A bet of 8 numbers can win with probability 
A bet of 10 numbers can win with probability
A bet of 12 numbers can win with probability 
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05 m a lottety, the betlor anust iwmaish the six numkens dhawn in a Sample spaa wt bo possibilidies hot is, a number...
A student measured the sulfite content (wt%) of a solid sample six times with the following...
A student measured the sulfite content (wt%) of a solid sample six times with the following results. The chemical supplier certifies the sulfite content of the sample to be 51.64%. Trial | Percent S03 (wt%) 48.17 49.36 49.38 51.82 48.95 51.27 2 4 6 (a) What is the calculated value of the t statistic, texp? Give your value to two significant figures (b) ls the mean of the student'sO results statistically significantly different from the supplier's value, at the 95%...
Question 2 12 Marks) a) Prove that for a Gaussian (normal) random variable, X, with mean...
Question 2 12 Marks) a) Prove that for a Gaussian (normal) random variable, X, with mean ps and variance o J2 Pr(x>= Q2 Fam nct edr Yinow hat J Note: Q) X As we Sure then x m r X 2 a-r Ox- 2 2 (X- a) X X-a b) A Gaussian random variable has a PDF of the form fr(x)= 3 2 2 x-3 Write each of the followings in terms of Q-function (with positive argument). cof (X a)...
Use the following data for questions 53 and 54. One sample of six loaves of bread...
Use the following data for questions 53 and 54. One sample of six loaves of bread was taken from the output of an oven at Elvis Bakery and Plumbing Supply to monitor the quality. Each loaf was weighed and the results are shown below. Loaf Weight 16.02 16.07 15.98 15.99 16.04 15.97 53. What is the sample average, for this sample? A) 96.07 B) 18.01 C) 16.01 D) 17.01 E) 86.07 54. What is the sample range R, for this...
2. Consider the random process x(t) defined by x(t) a cos(wt + 6).where w and a...
2. Consider the random process x(t) defined by x(t) a cos(wt + 6).where w and a are constants, and 0 is a random variable uniformly distributed in the range (-T, ) Sketch the ensemble (sample functions) representing x(t). (2.5 points). a. b. Find the mean and variance of the random variable 0. (2.5 points). Find the mean of x(t), m (t) E(x(t)). (2.5 points). c. d. Find the autocorrelation of x(t), R (t,, t) = E(x, (t)x2 (t)). (5 points)....
4&5 ar sample has been determined to be 1.6 x 10-M. 2 The hydronium ion HOT...
4&5
ar sample has been determined to be 1.6 x 10-M. 2 The hydronium ion HOT concentration in a vinegar sample has be Calculate the pH. - 10g (1.6x103) = 2.80m 3. Predict whether aqueous solutions of the following orions of the following compounds will be acidic, basic or neutral. If the solution would be acidic or basic, circle the ion that causes the pH to change b) FC) c) KO) d) KCIO acidic acidic basic neutral e) NaBr 1)...
2. Consider the random process x(t) defined by x(t) a cos(wt 6), where w and 0 are constants, and a is a random variable uniformly distributed in the range (-A, A). a. Sketch the ensemble (sample...
2. Consider the random process x(t) defined by x(t) a cos(wt 6), where w and 0 are constants, and a is a random variable uniformly distributed in the range (-A, A). a. Sketch the ensemble (sample functions) representing x(t). (2.5 points). b. Find the mean and variance of the random variable a. (5 points). c. Find the mean of x(t), m(t) E((t)). (5 points). d. Find the autocorrelation of x(t), Ra (t1, t2) E(x (t)x2 )). (5 points). Is the...
linear regression solve number 1 only 1. (a) Consider the model Y =Bo+BX +BX2+BX3 + B4X4+€....
linear regression
solve number 1 only
1. (a) Consider the model Y =Bo+BX +BX2+BX3 + B4X4+€. If it is suggested to you that the two variables Z = X1+ X4 and Z2 X+ X might be adequate to represent the data, what hypothesis, in the form CB 0, would you need to test? (Give the form of C) (b) For the data ((Xi, X2, Y) : (-1, -1,5.2). (-1,0,6.1). (0,0.7.8), (1,0, 10.3), (1.1,10.9)). fit the model Y Bo + 3,X+2X2+....
3. (7 pts) Coach Otis Campbell offered to buy hot dogs for players on his team....
3. (7 pts) Coach Otis Campbell offered to buy hot dogs for players on his team. Of the 44 players: 6 wanted all three condiments, 11 wanted ketchup(K) and relish(R), 10 wanted ketchup and mustard (M), 8 wanted mustard and relish, 28 wanted ketchup, 20 wanted mustard, and 14 wanted relish a. (3 pts) create a Venn Diagram mato 29 13 4-54 b. How many did not want any of the condiments c. How many wanted at least 2 condiments...
Question 13 (5 points) The diagram below shows six capacitors. The bottom row capacitor has a...
Question 13 (5 points) The diagram below shows six capacitors. The bottom row capacitor has a capacitance of C, the middle row capacitors have a capacitance of 2C each and the top row capacitors have a capacitance of 3C each. If the equivalent capacitance between points a and bis 20 uF, calculate C. HHHH b HHE 9 a 11 12 14 15 Format Β Ι Ο Ps Pr Au w P3 E Type here to search hp Det var ure...
I do not know how to solve number 5, 6, 8, 9 67.3), B - (89.9,...
I do not know how to solve number 5, 6, 8, 9
67.3), B - (89.9, -156.0) 10 8. AO 60.274 BO 75.342 c DO 117.722 GO 229.926 EO 147.153 HO 287.407 FO 183.941 1 pt b) Find the direction of -A 67.3), B-(89.9,-156.0). Express the angle counterclockwise relative to the positive r-axis t (s) B, where A -(35.1, car is moving along the z axis and its velocity, u , varies with time as shown in the figure. What...
A student measured the sulfite content (wt%) of a solid sample six times with the following results. The chemical supplier certifies the sulfite content of the sample to be 51.64%. Trial | Percent S03 (wt%) 48.17 49.36 49.38 51.82 48.95 51.27 2 4 6 (a) What is the calculated value of the t statistic, texp? Give your value to two significant figures (b) ls the mean of the student'sO results statistically significantly different from the supplier's value, at the 95%...
Question 2 12 Marks) a) Prove that for a Gaussian (normal) random variable, X, with mean ps and variance o J2 Pr(x>= Q2 Fam nct edr Yinow hat J Note: Q) X As we Sure then x m r X 2 a-r Ox- 2 2 (X- a) X X-a b) A Gaussian random variable has a PDF of the form fr(x)= 3 2 2 x-3 Write each of the followings in terms of Q-function (with positive argument). cof (X a)...
Use the following data for questions 53 and 54. One sample of six loaves of bread was taken from the output of an oven at Elvis Bakery and Plumbing Supply to monitor the quality. Each loaf was weighed and the results are shown below. Loaf Weight 16.02 16.07 15.98 15.99 16.04 15.97 53. What is the sample average, for this sample? A) 96.07 B) 18.01 C) 16.01 D) 17.01 E) 86.07 54. What is the sample range R, for this...
2. Consider the random process x(t) defined by x(t) a cos(wt + 6).where w and a are constants, and 0 is a random variable uniformly distributed in the range (-T, ) Sketch the ensemble (sample functions) representing x(t). (2.5 points). a. b. Find the mean and variance of the random variable 0. (2.5 points). Find the mean of x(t), m (t) E(x(t)). (2.5 points). c. d. Find the autocorrelation of x(t), R (t,, t) = E(x, (t)x2 (t)). (5 points)....
4&5
ar sample has been determined to be 1.6 x 10-M. 2 The hydronium ion HOT concentration in a vinegar sample has be Calculate the pH. - 10g (1.6x103) = 2.80m 3. Predict whether aqueous solutions of the following orions of the following compounds will be acidic, basic or neutral. If the solution would be acidic or basic, circle the ion that causes the pH to change b) FC) c) KO) d) KCIO acidic acidic basic neutral e) NaBr 1)...
2. Consider the random process x(t) defined by x(t) a cos(wt 6), where w and 0 are constants, and a is a random variable uniformly distributed in the range (-A, A). a. Sketch the ensemble (sample functions) representing x(t). (2.5 points). b. Find the mean and variance of the random variable a. (5 points). c. Find the mean of x(t), m(t) E((t)). (5 points). d. Find the autocorrelation of x(t), Ra (t1, t2) E(x (t)x2 )). (5 points). Is the...
linear regression
solve number 1 only
1. (a) Consider the model Y =Bo+BX +BX2+BX3 + B4X4+€. If it is suggested to you that the two variables Z = X1+ X4 and Z2 X+ X might be adequate to represent the data, what hypothesis, in the form CB 0, would you need to test? (Give the form of C) (b) For the data ((Xi, X2, Y) : (-1, -1,5.2). (-1,0,6.1). (0,0.7.8), (1,0, 10.3), (1.1,10.9)). fit the model Y Bo + 3,X+2X2+....
3. (7 pts) Coach Otis Campbell offered to buy hot dogs for players on his team. Of the 44 players: 6 wanted all three condiments, 11 wanted ketchup(K) and relish(R), 10 wanted ketchup and mustard (M), 8 wanted mustard and relish, 28 wanted ketchup, 20 wanted mustard, and 14 wanted relish a. (3 pts) create a Venn Diagram mato 29 13 4-54 b. How many did not want any of the condiments c. How many wanted at least 2 condiments...
Question 13 (5 points) The diagram below shows six capacitors. The bottom row capacitor has a capacitance of C, the middle row capacitors have a capacitance of 2C each and the top row capacitors have a capacitance of 3C each. If the equivalent capacitance between points a and bis 20 uF, calculate C. HHHH b HHE 9 a 11 12 14 15 Format Β Ι Ο Ps Pr Au w P3 E Type here to search hp Det var ure...
I do not know how to solve number 5, 6, 8, 9
67.3), B - (89.9, -156.0) 10 8. AO 60.274 BO 75.342 c DO 117.722 GO 229.926 EO 147.153 HO 287.407 FO 183.941 1 pt b) Find the direction of -A 67.3), B-(89.9,-156.0). Express the angle counterclockwise relative to the positive r-axis t (s) B, where A -(35.1, car is moving along the z axis and its velocity, u , varies with time as shown in the figure. What...
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