 9.6.1: True or False In a binomial probability model, each trial has only ...
 9.6.2: Find the probability of obtaining 1, 2, or 3 successes in 5 trials ...
 9.6.3: True or False In a binomial probability model, with n trials, where...
 9.6.4: The graph of a normal probability distribution is symmetric about t...
 9.6.5: To standardize a normal random variable, we find a _____.
 9.6.6: A standard normal distribution always has a mean of _____ and a sta...
 9.6.7: If the area under the standard normal curve between 0 and Z is 0.4,...
 9.6.8: True or False A Zscore can be interpreted as the number of standar...
 9.6.9: In 912, for each normal curve determine and by inspection. sm
 9.6.10: In 912, for each normal curve determine and by inspection. sm
 9.6.11: In 912, for each normal curve determine and by inspection. sm
 9.6.12: In 912, for each normal curve determine and by inspection. sm
 9.6.13: Given a normal distribution with a mean of 13.1 and a standard devi...
 9.6.14: Given a normal distribution with a mean of 15.2 and a standard devi...
 9.6.15: Given the following Zscores on a standard normal distribution, fin...
 9.6.16: Given the following Zscores on a standard normal distribution, fin...
 9.6.17: In 1720, use the standard normal curve table to find the area of ea...
 9.6.18: In 1720, use the standard normal curve table to find the area of ea...
 9.6.19: In 1720, use the standard normal curve table to find the area of ea...
 9.6.20: In 1720, use the standard normal curve table to find the area of ea...
 9.6.21: In 2126, suppose a binomial experiment consists of 750 trials and t...
 9.6.22: In 2126, suppose a binomial experiment consists of 750 trials and t...
 9.6.23: In 2126, suppose a binomial experiment consists of 750 trials and t...
 9.6.24: In 2126, suppose a binomial experiment consists of 750 trials and t...
 9.6.25: In 2126, suppose a binomial experiment consists of 750 trials and t...
 9.6.26: In 2126, suppose a binomial experiment consists of 750 trials and t...
 9.6.27: Assigning Grades An instructor assigns grades in an examination acc...
 9.6.28: Assigning Grades Professor Morgan uses a normal distribution to ass...
 9.6.29: Womens Heights The average height of 2000 women in a random sample ...
 9.6.30: Weight of Corn Flakes in a Box Corn flakes come in a box that says ...
 9.6.31: Student Weights The weight of 100 college students closely follows ...
 9.6.32: Time to Do Taxes The Internal Revenue Service claims it takes an av...
 9.6.33: Life Expectancy of Clothing If the average life of a certain make o...
 9.6.34: Life Expectancy of Shoes Records show that the average life expecta...
 9.6.35: Movie Theater Attendance The attendance over a weekly period of tim...
 9.6.36: Test Scores Scores on an aptitude test are normally distributed wit...
 9.6.37: Comparing Test Scores Colleen, Mary, and Kathleen are vying for a p...
 9.6.38: . In Mathematics 135 the average final grade is 75.0 and the standa...
 9.6.39: (a) Draw the line chart and frequency curve for the probability of ...
 9.6.40: Follow the same directions as in for an experiment in which a biase...
 9.6.41: In 4144, use a normal approximation to the binomial distribution.Li...
 9.6.42: In 4144, use a normal approximation to the binomial distribution.Hi...
 9.6.43: In 4144, use a normal approximation to the binomial distribution.Qu...
 9.6.44: In 4144, use a normal approximation to the binomial distribution.Qu...
 9.6.45: Graph the standard normal curve using a graphing utility. For what ...
 9.6.46: Graph the normal curve with and using a graphing utility. For what ...
 9.6.47: Quality Control Refer to 43. Use a graphing utility to compute the ...
 9.6.48: . Quality Control Refer to 44. Use a graphing utility to compute th...
 9.6.49: Quality Control Refer to 43. Suppose that each week a random sample...
 9.6.50: Quality Control Refer to 44. Suppose that each week a random sample...
Solutions for Chapter 9.6: The Normal Distribution
Full solutions for Finite Mathematics, Binder Ready Version: An Applied Approach  11th Edition
ISBN: 9780470876398
Solutions for Chapter 9.6: The Normal Distribution
Get Full SolutionsThis expansive textbook survival guide covers the following chapters and their solutions. Since 50 problems in chapter 9.6: The Normal Distribution have been answered, more than 16731 students have viewed full stepbystep solutions from this chapter. Chapter 9.6: The Normal Distribution includes 50 full stepbystep solutions. Finite Mathematics, Binder Ready Version: An Applied Approach was written by and is associated to the ISBN: 9780470876398. This textbook survival guide was created for the textbook: Finite Mathematics, Binder Ready Version: An Applied Approach, edition: 11.

Affine transformation
Tv = Av + Vo = linear transformation plus shift.

Change of basis matrix M.
The old basis vectors v j are combinations L mij Wi of the new basis vectors. The coordinates of CI VI + ... + cnvn = dl wI + ... + dn Wn are related by d = M c. (For n = 2 set VI = mll WI +m21 W2, V2 = m12WI +m22w2.)

Column space C (A) =
space of all combinations of the columns of A.

Cyclic shift
S. Permutation with S21 = 1, S32 = 1, ... , finally SIn = 1. Its eigenvalues are the nth roots e2lrik/n of 1; eigenvectors are columns of the Fourier matrix F.

Dimension of vector space
dim(V) = number of vectors in any basis for V.

Fibonacci numbers
0,1,1,2,3,5, ... satisfy Fn = Fnl + Fn 2 = (A7 A~)I()q A2). Growth rate Al = (1 + .J5) 12 is the largest eigenvalue of the Fibonacci matrix [ } A].

Graph G.
Set of n nodes connected pairwise by m edges. A complete graph has all n(n  1)/2 edges between nodes. A tree has only n  1 edges and no closed loops.

Hankel matrix H.
Constant along each antidiagonal; hij depends on i + j.

Iterative method.
A sequence of steps intended to approach the desired solution.

Kirchhoff's Laws.
Current Law: net current (in minus out) is zero at each node. Voltage Law: Potential differences (voltage drops) add to zero around any closed loop.

Multiplication Ax
= Xl (column 1) + ... + xn(column n) = combination of columns.

Multiplier eij.
The pivot row j is multiplied by eij and subtracted from row i to eliminate the i, j entry: eij = (entry to eliminate) / (jth pivot).

Network.
A directed graph that has constants Cl, ... , Cm associated with the edges.

Polar decomposition A = Q H.
Orthogonal Q times positive (semi)definite H.

Pseudoinverse A+ (MoorePenrose inverse).
The n by m matrix that "inverts" A from column space back to row space, with N(A+) = N(AT). A+ A and AA+ are the projection matrices onto the row space and column space. Rank(A +) = rank(A).

Reduced row echelon form R = rref(A).
Pivots = 1; zeros above and below pivots; the r nonzero rows of R give a basis for the row space of A.

Rotation matrix
R = [~ CS ] rotates the plane by () and R 1 = RT rotates back by (). Eigenvalues are eiO and eiO , eigenvectors are (1, ±i). c, s = cos (), sin ().

Solvable system Ax = b.
The right side b is in the column space of A.

Symmetric factorizations A = LDLT and A = QAQT.
Signs in A = signs in D.

Vector v in Rn.
Sequence of n real numbers v = (VI, ... , Vn) = point in Rn.