NU MN205 final exam quiz

MNS 205 Final Quiz No. 4 All Questions are 3 points each

Name: _______________ Date: _____06/01/15______

Yellow highlight your chosen response and include your Name in the File name.

Due Noon Tuesday via reply email.

1) An example of Uniform Probability Distribution is the probability resulting from rolling a six-sided balanced die.

a) True

b) False

2) The properties of a binomial experiment and hence the binomial distribution include:

a) There is a sequence of n identical trials

b) Two outcomes, success or failure, are possible on each trial

c) The probability of success, denoted by p, does not change from trial to trial

d) The trials are independent

e) All of the above

3) With a full deck of cards for a specific trial, theprobability of success p, is based on drawing an ACE. What is the probability of failure?

a) 1/13

b) 1/4

c) 12/13

d) 0.24

e) None of the above

4) By replacing the card in the desk of cards for each trial, three consecutive trials resulted in drawing an ACE each time. What is the probability of not drawing an ACE in the fourth trial?

a) 1/13

b) 1/28,561

c) 12/13

d) 0.726

e) None of the above

5) The normal probability distribution is defined by its mean µ and its ______?

a) Variation ?²

b) Standard Deviation?

c) Median

d) Mode

6) For a normal standard distribution, the area under the curve to the left of the mean is:

a) 0.9544

b) 0.6826

c) 100%

d) 0.5

7) For a normal standard distribution, the area under the curve within + / - 1 standard deviation of the mean is:

a) 0.9544

b) 0.6826

c) 2/3

d) 0.5

8) For a normal standard distribution, P(z? -1.44) =

a) 0.4251

b) 0.9251

c) 0.5749

d) 0.0749

9) For a normal standard distribution, P(z? -1.44) =

a) 0.4251

b) 0.9251

c) 0.5749

d) 0.0749

10)For a normal standard distribution, P(-1.44 ? z? 1.03) =

a) 0.7736

b) 0.3485

c) 0.4251

d) 0.8485

11)For a normal standard distribution, P(z? -3.0) =

a) 0.0028

b) 0.9972

c) 0.0026

d) 0.0013

12)For a system of two linear equations in a plane, which of the following is true?

a) If there is one solution, the system is consistent and independent

b) If there is no solution, the system is inconsistent

c) If there are an infinite number of solutions, the system is consistent and dependent

d) All of the above

13)For solving a system of linear equations, which method is the most visual, but not the most accurate?

a) Graphing

b) Substitution

c) Elimination

d) Addition

14)For a system of two linear equations, if the slope of each of the lines is the same, but the y-intercept is different, then:

a) There is no solution

b) The lines are parallel

c) The system is inconsistent

d) All of the above

15)For a system of two linear equations, if the slope of each of the lines is the same, and the y-intercept is the same, then:

a) There is no solution

b) There are an infinite number of solutions

c) The system is consistent

d) The system is dependent

e) b, c and d only

16)Solve the following system of linear equations: 3x – 6y = -9 -2x + 4y = 12

a) (0 , 3)

b) (3 , 0)

c) Infinite number of solutions

d) No solution

e) None of the above

17)Solve the following system of linear equations: 3x – 6y = -18 -2x + 4y = 12

a) (0 , 3)

b) (3 , 0)

c) Infinite number of solutions

d) No solution

e) None of the above

18)Solve the following system of linear equations: 3x – 6y = -18 2x + 4y = 12

a) (0 , 3)

b) (3 , 0)

c) Infinite number of solutions

d) No solution

e) None of the above

19) The system of linear equations of #18 above can be described as

a) Consistent and independent

b) Inconsistent

c) Consistent and dependent

d) None of the above

20) Which of the following is the desired end matrix for the Gauss-Jordan elimination solution?

a) Desired end matrix

b)

c)

d)

X	O	O
O	X	O
O	O	X

Questions 21, 22 and 23 are all extra credit for 3 points each. Solve the following using Gauss-Jordan elimination.

3x₁+ 5x₂– x₃ = -7

x₁+ x₂+ x₃ = -1

2x₁+ +11x₃ = 7

21) x_{1 =}

a) -2

b) -1

c) 0

d) 1

e) 2

22) X_{2 =}

a) -2

b) -1

c) 0

d) 1

e) 2

23) X_{3 =}

a) -2

b) -1

c) 0

d) 1

e) 2

Thanks Everyone for a Great Class!!!!