 12.4.1: Toss a fair coin twice. Let X be the random variable that counts th...
 12.4.2: Toss a fair coin four times. Let X be the random variable that coun...
 12.4.3: Roll a fair die twice. Let X be the random variable that gives the ...
 12.4.4: Roll a fair die twice. Let X be the random variable that gives the ...
 12.4.5: An urn contains three green and two blue balls. You remove two ball...
 12.4.6: An urn contains five green balls, two blue balls, and three red bal...
 12.4.7: You draw 3 cards from a standard deck of 52 cards without replaceme...
 12.4.8: You draw 5 cards from a standard deck of 52 cards without replaceme...
 12.4.9: Suppose that the probability mass function of a discrete random var...
 12.4.10: Suppose the probability mass function of a discrete random variable...
 12.4.11: Let X be a random variable with distribution function F(x) = 0 x < ...
 12.4.12: Let X be a random variable with distribution function F(x) = 0 x < ...
 12.4.13: Let S = {1, 2, 3, . . . , 10}, and assume that p(k) = k N , k S whe...
 12.4.14: Geometric Distribution In Example 2, we tossed a coin repeatedly un...
 12.4.15: The following table contains the number of leaves per basil plant i...
 12.4.16: The following table contains the number of aphids per plant in a sa...
 12.4.17: The following table contains the scores of 25 students on a certain...
 12.4.18: The following table contains the number of flower heads per plant i...
 12.4.19: Suppose that the probability mass function of a discrete random var...
 12.4.20: Suppose that the probability mass function of a discrete random var...
 12.4.21: Suppose that the probability mass function of a discrete random var...
 12.4.22: Suppose that the probability mass function of a discrete random var...
 12.4.23: Let X be uniformly distributed on the set S = {1, 2, 3, . . . , 10}...
 12.4.24: Let X be uniformly distributed on the set S = {1, 2, 3, . . . , n} ...
 12.4.25: Assume that X is a discrete random variable with finite range, and ...
 12.4.26: Assume that X is a discrete random variable with finite range, and ...
 12.4.27: Let X and Y be two random variables with the following joint distri...
 12.4.28: Let X and Y be two random variables with the following joint distri...
 12.4.29: Let X and Y be two independent random variables with probability ma...
 12.4.30: Let X and Y be two independent random variables with probability ma...
 12.4.31: We have two formulas for computing the variance of X, namely, var(X...
 12.4.32: Assume that X is a discrete random variable with finite range. Show...
 12.4.33: Toss a fair coin 10 times. Let X be the number of heads. Find (a) P...
 12.4.34: Toss a coin with probability of heads 0.3 five times. Let X be the ...
 12.4.35: Roll a fair die six times. Let X be the number of times you roll a ...
 12.4.36: A loaded die has probability 0.5 of rolling a 6 and probability 0.1...
 12.4.37: A loaded die is weighted so that rolling a 4 is three times as like...
 12.4.38: An urn contains four green and six blue balls. You draw a ball at r...
 12.4.39: An urn contains three blue and two white balls. You draw a ball at ...
 12.4.40: An urn contains four red, seven green, and two white balls. You dra...
 12.4.41: Assume that 20% of all plants in a field are infested with aphids. ...
 12.4.42: To test for a disease that has a prevalence of 1 in 100 in a popula...
 12.4.43: Suppose that a box contains 10 apples. The probability that any one...
 12.4.44: Toss a fair coin 10 times. Let X denote the number of heads. What i...
 12.4.45: A multiplechoice exam contains 50 questions. Each question has fou...
 12.4.46: A truefalse exam has 20 questions. Find the expected number of corr...
 12.4.47: Sampling with and without Replacement An urn contains 12 green and ...
 12.4.48: Sampling with and without Replacement An urn contains K green and N...
 12.4.49: Repeat Example 27 when N1 = 10, N2 = 14, and N3 = 6.
 12.4.50: Repeat Example 27 when N1 = 5, N2 = 15, and N3 = 10.
 12.4.51: Repeat Example 28 when 20 seeds are round and yellow, 10 are round ...
 12.4.52: Repeat Example 28 when 17 seeds are round and yellow, 22 are round ...
 12.4.53: An urn contains six green, eight blue, and 10 red balls. You take o...
 12.4.54: An urn contains eight green, four blue, and six red balls. You take...
 12.4.55: In a Cc Cc crossing of peas, 5 offspring are of genotype CC, 12 are...
 12.4.56: In a Cc Cc crossing of peas, two offspring are of genotype CC, thre...
 12.4.57: The inability to roll ones tongue is caused by a single pair of rec...
 12.4.58: An attached earlobe is caused by a single pair of recessive genes (...
 12.4.59: TaySachs disease is caused by a single pair of recessive genes. If ...
 12.4.60: Assume a 1:1 sex ratio. A woman who is a carrier of hemophilia has ...
 12.4.61: A random experiment consists of flipping a fair coin until the firs...
 12.4.62: A random experiment consists of flipping a biased coin with probabi...
 12.4.63: A random experiment consists of rolling a fair die until the first ...
 12.4.64: A random experiment consists of rolling a fair die until the first ...
 12.4.65: A random experiment consists of flipping a fair coin until the firs...
 12.4.66: A random experiment consists of rolling a fair die until the first ...
 12.4.67: A random experiment consists of flipping a fair coin until the firs...
 12.4.68: A random experiment consists of rolling a fair die until the first ...
 12.4.69: An urn contains one black and 14 white balls. Balls are drawn at ra...
 12.4.70: An urn contains one black and n 1 white balls. Balls are drawn at r...
 12.4.71: An urn contains five green and 25 blue balls. Balls are drawn at ra...
 12.4.72: An urn contains 10 green and 20 blue balls. Balls are drawn at rand...
 12.4.73: An urn contains one black and nine white balls. Balls are drawn at ...
 12.4.74: An urn contains one black and n 1 white balls. Balls are drawn at r...
 12.4.75: Suppose the waiting time for the first success in an experiment is ...
 12.4.76: A Bernoulli experiment with probability of success p is repeated un...
 12.4.77: Suppose X is Poisson distributed with parameter = 2. Find P(X = k) ...
 12.4.78: Suppose X is Poisson distributed with parameter = 0.5. Find P(X = k...
 12.4.79: Suppose X is Poisson distributed with parameter = 1. (a) Find P(X 2...
 12.4.80: Suppose X is Poisson distributed with parameter = 0.2. (a) Find P(X...
 12.4.81: Suppose X is Poisson distributed with parameter = 1.5. Find the pro...
 12.4.82: Suppose X is Poisson distributed with parameter = 1.2. Find the pro...
 12.4.83: Suppose X is Poisson distributed with parameter = 2. Find the proba...
 12.4.84: Suppose X is Poisson distributed with parameter = 0.6. Find the pro...
 12.4.85: Suppose the number of phone calls arriving at a switchboard per hou...
 12.4.86: Suppose the number of phone calls arriving at a switchboard per hou...
 12.4.87: Suppose the number of typos on a book page is Poisson distributed w...
 12.4.88: Suppose the number of typos on a book page is Poisson distributed w...
 12.4.89: The number of amino acid substitutions on a given amino acid sequen...
 12.4.90: The number of amino acid substitutions on a given amino acid sequen...
 12.4.91: X and Y are independent and Poisson with mean 3. (a) Find P(X + Y =...
 12.4.92: X is Poisson distributed with mean 2, and Y is Poisson distributed ...
 12.4.93: Let X be Poisson distributed with mean 4 and Y be Poisson distribut...
 12.4.94: Suppose X and Y are independent and Poisson with mean . Given that ...
 12.4.95: For a certain vaccine, 1 in 1000 individuals experiences some side ...
 12.4.96: For a certain vaccine, 1 in 500 individuals experiences some side e...
 12.4.97: About 1 in 700 births in the United States is affected by Down synd...
 12.4.98: About 1 in 1000 boys is affected by fragile X syndrome, a genetic d...
 12.4.99: (Refer to Example 37.) Suppose a parasitoid has a probability of 0....
Solutions for Chapter 12.4: Discrete Random Variables and Discrete Distributions
Full solutions for Calculus For Biology and Medicine (Calculus for Life Sciences Series)  3rd Edition
ISBN: 9780321644688
Solutions for Chapter 12.4: Discrete Random Variables and Discrete Distributions
Get Full SolutionsThis textbook survival guide was created for the textbook: Calculus For Biology and Medicine (Calculus for Life Sciences Series), edition: 3. Chapter 12.4: Discrete Random Variables and Discrete Distributions includes 99 full stepbystep solutions. This expansive textbook survival guide covers the following chapters and their solutions. Since 99 problems in chapter 12.4: Discrete Random Variables and Discrete Distributions have been answered, more than 19911 students have viewed full stepbystep solutions from this chapter. Calculus For Biology and Medicine (Calculus for Life Sciences Series) was written by and is associated to the ISBN: 9780321644688.

Coefficient matrix
A matrix whose elements are the coefficients in a system of linear equations

Convenience sample
A sample that sacrifices randomness for convenience

Coordinate(s) of a point
The number associated with a point on a number line, or the ordered pair associated with a point in the Cartesian coordinate plane, or the ordered triple associated with a point in the Cartesian threedimensional space

Degree
Unit of measurement (represented by the symbol ) for angles or arcs, equal to 1/360 of a complete revolution

Dihedral angle
An angle formed by two intersecting planes,

Direction of an arrow
The angle the arrow makes with the positive xaxis

Exponential growth function
Growth modeled by ƒ(x) = a ? b a > 0, b > 1 .

Horizontal component
See Component form of a vector.

Index of summation
See Summation notation.

Multiplication principle of counting
A principle used to find the number of ways an event can occur.

Numerical derivative of ƒ at a
NDER f(a) = ƒ1a + 0.0012  ƒ1a  0.00120.002

Opens upward or downward
A parabola y = ax 2 + bx + c opens upward if a > 0 and opens downward if a < 0.

Paraboloid of revolution
A surface generated by rotating a parabola about its line of symmetry.

Pole
See Polar coordinate system.

Positive association
A relationship between two variables in which higher values of one variable are generally associated with higher values of the other variable, p. 717.

Pseudorandom numbers
Computergenerated numbers that can be used to approximate true randomness in scientific studies. Since they depend on iterative computer algorithms, they are not truly random

Quartile
The first quartile is the median of the lower half of a set of data, the second quartile is the median, and the third quartile is the median of the upper half of the data.

Reflection
Two points that are symmetric with respect to a lineor a point.

Xscl
The scale of the tick marks on the xaxis in a viewing window.

yintercept
A point that lies on both the graph and the yaxis.