 8.6.1: True or False In a Bernoulli trial, the same experiment is repeated...
 8.6.2: True or False In a Bernoulli trial, the same experiment is repeated...
 8.6.3: In a Bernoulli trial, the probability of exactly k successes in n t...
 8.6.4: In a binomial probability model, the probability of exactly 3 succe...
 8.6.5: True or False In a Bernoulli trial, the probability of at least 5 s...
 8.6.6: In a Bernoulli process with n trials, the expected number of succes...
 8.6.7: In 720, use Formula (2), page 482, to compute each binomial probabi...
 8.6.8: In 720, use Formula (2), page 482, to compute each binomial probabi...
 8.6.9: In 720, use Formula (2), page 482, to compute each binomial probabi...
 8.6.10: In 720, use Formula (2), page 482, to compute each binomial probabi...
 8.6.11: In 720, use Formula (2), page 482, to compute each binomial probabi...
 8.6.12: In 720, use Formula (2), page 482, to compute each binomial probabi...
 8.6.13: In 720, use Formula (2), page 482, to compute each binomial probabi...
 8.6.14: In 720, use Formula (2), page 482, to compute each binomial probabi...
 8.6.15: In 720, use Formula (2), page 482, to compute each binomial probabi...
 8.6.16: In 720, use Formula (2), page 482, to compute each binomial probabi...
 8.6.17: In 720, use Formula (2), page 482, to compute each binomial probabi...
 8.6.18: In 720, use Formula (2), page 482, to compute each binomial probabi...
 8.6.19: In 720, use Formula (2), page 482, to compute each binomial probabi...
 8.6.20: In 720, use Formula (2), page 482, to compute each binomial probabi...
 8.6.21: Find the probability of obtaining exactly 6 successes in 10 trials ...
 8.6.22: Find the probability of obtaining exactly 5 successes in 9 trials w...
 8.6.23: Find the probability of obtaining exactly 9 successes in 12 trials ...
 8.6.24: Find the probability of obtaining exactly 8 successes in 15 trials ...
 8.6.25: Find the probability of obtaining at least 5 successes in 8 trials ...
 8.6.26: Find the probability of obtaining at most 3 successes in 7 trials w...
 8.6.27: In 2732, a fair coin is tossed 8 times What is the probability of o...
 8.6.28: In 2732, a fair coin is tossed 8 times What is the probability of o...
 8.6.29: In 2732, a fair coin is tossed 8 times What is the probability of o...
 8.6.30: In 2732, a fair coin is tossed 8 times What is the probability of o...
 8.6.31: In 2732, a fair coin is tossed 8 times What is the probability of o...
 8.6.32: In 2732, a fair coin is tossed 8 times What is the probability of o...
 8.6.33: In five rolls of two fair dice, what is the probability of obtainin...
 8.6.34: In seven rolls of two fair dice, what is the probability of obtaini...
 8.6.35: An experiment is performed 4 times, with 2 possible outcomes, F (fa...
 8.6.36: An experiment is performed 3 times, with 2 possible outcomes, F (fa...
 8.6.37: Quality Control Suppose that 5% of the items produced by a factory ...
 8.6.38: Opinion Poll Suppose that 60% of the voters intend to vote for a co...
 8.6.39: Family Structure What is the probability in a family with exactly 6...
 8.6.40: Family Structure What is the probability in a family of 7 children:...
 8.6.41: Guessing on a TrueFalse Exam In a 20item truefalse examination, a ...
 8.6.42: TrueFalse Tests (a) In a 15item truefalse examination, what is the...
 8.6.43: Cheating on Taxes Money magazine reported that 12% of people admit ...
 8.6.44: Individual Tax Audits In 2009, the IRS audited about 1% of all indi...
 8.6.45: Filing Tax Returns The IRS estimates that 10% of all individual inc...
 8.6.46: IRS Prosecutions For tax evasion cases that actually reached prosec...
 8.6.47: Worker Satisfaction A study by the Society for Human Resource Manag...
 8.6.48: Worker Satisfaction A Sperion Workplace Snapshot survey conducted b...
 8.6.49: Clipping Coupons According to the Promotion Marketing Association, ...
 8.6.50: Volunteerism According to the Bureau of Labor Statistics, 26.8% of ...
 8.6.51: Insurance Fraud The National Insurance Crime Bureau estimates that ...
 8.6.52: Auto Loan Approval Bev is a loan officer at a privately owned bank....
 8.6.53: Air Passenger NoShows The airline industry reports that 12% of tic...
 8.6.54: Airline Bumps To counter the cost of passenger noshows, airlines f...
 8.6.55: Batting Averages A baseball player has a 0.250 batting average. (a)...
 8.6.56: Target Shooting If the probability of hitting a target is and 10 sh...
 8.6.57: Opinion Poll Mr. Austin and Ms. Moran are running for public office...
 8.6.58: Screening Employees To screen prospective employees, a company give...
 8.6.59: Heart Attack Approximately 23% of North American unexpected deaths ...
 8.6.60: Support for the President A Fox News/Opinion Dynamics Poll conducte...
 8.6.61: Product Testing A supposed coffee connoisseur claims she can distin...
 8.6.62: Opinion Poll Opinion polls based on small samples often yield misle...
 8.6.63: The Aging Population The 2008 United States Census showed that 12.3...
 8.6.64: Age Distribution The 2008 United States Census showed that 87.7% of...
 8.6.65: Tossing a Die Find the number of times the face 5 is expected to oc...
 8.6.66: Tossing a Coin What is the expected number of tails that will turn ...
 8.6.67: Quality Control A certain kind of lightbulb has been found to have ...
 8.6.68: Pass/Fail A student enrolled in a math course has a 0.9 probability...
 8.6.69: Healthcare Costs In a December 2009 Gallup poll, 14% of adults in t...
 8.6.70: Emergency Savings A report by CNN in February 2007 stated that only...
 8.6.71: Drug Reaction A doctor has found that the probability that a patien...
 8.6.72: TrueFalse Test A truefalse test consisting of 30 questions is score...
 8.6.73: Hamming Code There is a Hamming code of length 15 that corrects a s...
 8.6.74: Golay Code There is a binary code of length 23 (called the Golay co...
 8.6.75: BCH Code There is a binary code of length 31 [called the binary (31...
 8.6.76: Sometimes experiments are simulated using a random number function*...
 8.6.77: Sometimes experiments are simulated using a random number function*...
 8.6.78: Sometimes experiments are simulated using a random number function*...
 8.6.79: Sometimes experiments are simulated using a random number function*...
Solutions for Chapter 8.6: The Binomial Probability Model
Full solutions for Finite Mathematics, Binder Ready Version: An Applied Approach  11th Edition
ISBN: 9780470876398
Solutions for Chapter 8.6: The Binomial Probability Model
Get Full SolutionsFinite Mathematics, Binder Ready Version: An Applied Approach was written by and is associated to the ISBN: 9780470876398. Chapter 8.6: The Binomial Probability Model includes 79 full stepbystep solutions. This textbook survival guide was created for the textbook: Finite Mathematics, Binder Ready Version: An Applied Approach, edition: 11. This expansive textbook survival guide covers the following chapters and their solutions. Since 79 problems in chapter 8.6: The Binomial Probability Model have been answered, more than 16763 students have viewed full stepbystep solutions from this chapter.

Big formula for n by n determinants.
Det(A) is a sum of n! terms. For each term: Multiply one entry from each row and column of A: rows in order 1, ... , nand column order given by a permutation P. Each of the n! P 's has a + or  sign.

CayleyHamilton Theorem.
peA) = det(A  AI) has peA) = zero matrix.

Circulant matrix C.
Constant diagonals wrap around as in cyclic shift S. Every circulant is Col + CIS + ... + Cn_lSn  l . Cx = convolution c * x. Eigenvectors in F.

Complex conjugate
z = a  ib for any complex number z = a + ib. Then zz = Iz12.

Determinant IAI = det(A).
Defined by det I = 1, sign reversal for row exchange, and linearity in each row. Then IAI = 0 when A is singular. Also IABI = IAIIBI and

Echelon matrix U.
The first nonzero entry (the pivot) in each row comes in a later column than the pivot in the previous row. All zero rows come last.

Elimination.
A sequence of row operations that reduces A to an upper triangular U or to the reduced form R = rref(A). Then A = LU with multipliers eO in L, or P A = L U with row exchanges in P, or E A = R with an invertible E.

Fundamental Theorem.
The nullspace N (A) and row space C (AT) are orthogonal complements in Rn(perpendicular from Ax = 0 with dimensions rand n  r). Applied to AT, the column space C(A) is the orthogonal complement of N(AT) in Rm.

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

Indefinite matrix.
A symmetric matrix with eigenvalues of both signs (+ and  ).

Left nullspace N (AT).
Nullspace of AT = "left nullspace" of A because y T A = OT.

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

Orthogonal matrix Q.
Square matrix with orthonormal columns, so QT = Ql. Preserves length and angles, IIQxll = IIxll and (QX)T(Qy) = xTy. AlllAI = 1, with orthogonal eigenvectors. Examples: Rotation, reflection, permutation.

Singular matrix A.
A square matrix that has no inverse: det(A) = o.

Singular Value Decomposition
(SVD) A = U:E VT = (orthogonal) ( diag)( orthogonal) First r columns of U and V are orthonormal bases of C (A) and C (AT), AVi = O'iUi with singular value O'i > O. Last columns are orthonormal bases of nullspaces.

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

Symmetric matrix A.
The transpose is AT = A, and aU = a ji. AI is also symmetric.

Trace of A
= sum of diagonal entries = sum of eigenvalues of A. Tr AB = Tr BA.

Vandermonde matrix V.
V c = b gives coefficients of p(x) = Co + ... + Cn_IXn 1 with P(Xi) = bi. Vij = (Xi)jI and det V = product of (Xk  Xi) for k > i.

Wavelets Wjk(t).
Stretch and shift the time axis to create Wjk(t) = woo(2j t  k).