In: Statistics and Probability

**Type T (for True) or F (for False) for each statement
for both Discrete and Continuous random variables.**

Question 16) X cannot map the same sample point to two different numbers. Discrete: Continuous:

Question 17) The sample space (domain) must be discrete. Discrete: Continuous:

Question 18 ) The range of X is uncountably infinite. Discrete: Continuous:

Question 19) The area under the F(x) function is 1. Discrete: Continuous:

Question 20) The cdf F(x) is differentiable everywhere. Discrete: Continuous:

Question 21) There exists a point y so that the cdf F(x) = 0 for all x ≤ y. Discrete: Continuous:

Question 22 ) The pf/pdf f(x) is non-decreasing. Discrete: Continuous:

Question 23) The pf/pdf f(x) is differentiable everywhere. Discrete: Continuous:

Question 24) E[X2] = Var(X) + (E[X])2. Discrete: Continuous:

Question 25) A symmetric distribution has mean equal to the midpoint of the range. Discrete: Continuous:

Question 16) X cannot map the same sample point to two different numbers. Discrete(False): Continuous: (False)

Question 17) The sample space (domain) must be discrete. Discrete (True) : Continuous:(false)

Question 18 ) The range of X is uncountably infinite. Discrete(false): Continuous:(true)

Question 19) The area under the F(x) function is 1. Discrete(false): Continuous:(true)

Question 20) The cdf F(x) is differentiable everywhere. Discrete(false): Continuous:(true)

Question 21) There exists a point y so that the cdf F(x) = 0 for all x ≤ y. Discrete(true): Continuous:(false)

Question 22 ) The pf/pdf f(x) is non-decreasing. Discrete (false): Continuous:(false)

Question 23) The pf/pdf f(x) is differentiable everywhere. Discrete(false): Continuous:(True)

Question 24) E[X2] = Var(X) + (E[X])2. Discrete(True): Continuous:(True)

Question 25) A symmetric distribution has mean equal to the midpoint of the range. Discrete(True): Continuous:(True)

True/False
Type T (for True) or F (for False) for each statement for both
Discrete and Continuous random variables.
Question 19
The cdf F(x) is strictly increasing.
Discrete:
Continuous:
Question 20
The cdf F(x) is between 0 and 1 (inclusive).
Discrete:
Continuous:
Question 21
The limit as x → ∞ of F(x) is 1.
Discrete:
Continuous:
Question 22
If x1 is the largest value in the range of X, then
F(x1) = f(x1).
Discrete:
Continuous:
Question 23
The pf/pdf f(x)...

True/False
Type T (for True) or F (for False) for each statement
for both Discrete and Continuous random variables.
X cannot map two sample points to the same number.
Discrete:
Continuous:
The sample space (domain) must be discrete.
Discrete:
Continuous:
The range of X is uncountably infinite.
Discrete:
Continuous:
The cdf F(x) is differentiable everywhere.
Discrete:
Continuous:
The limit as x → ∞ of F(x) is 1.
Discrete:
Continuous:
The cdf F(x) is right-continuous.
Discrete:
Continuous:
The pf/pdf f(x) is...

True/False
Type T (for True) or F (for False) for each statement
for both Discrete and Continuous random variables.
X cannot map the same sample point to two different
numbers.
Discrete:
Continuous:
The sample space (domain) can be either discrete or
continuous.
Discrete:
Continuous:
The range of X is countable.
Discrete:
Continuous:
The area under the F(x) function is 1.
Discrete:
Continuous:
The cdf F(x) is non-decreasing.
Discrete:
Continuous:
The cdf F(x) is differentiable
everywhere.
Discrete:
Continuous:
The pf/pdf f(x)...

True or False—Indicate if the statement is True (T) or
False (F) for each of the following 10 statements:
__________ 1. While variable costs are always relevant
to a business decision, fixed costs are not, and need to be
analyzed closely to determine if they will be different amongst the
alternatives being considered.
__________ 2. Facility level costs often include costs
such as rent, property taxes, building maintenance, and utilities;
facility level costs benefit the production process as a whole...

18H. TRUE/FALSE. Write 'T' if the statement is true and 'F' if
the statement is false.
11. Production of traded goods falls in countries that export
them.
12. International trade allows the world to use its resources
more efficiently but one country’s gains are another country’s
losses.
13. A country’s ability to produce a specific good with fewer
resources than another country determines whether it has an
absolute advantage in producing the good.
14. Comparative advantage is based on the...

TRUE/FALSE. Write 'T' if the statement is true and 'F' if the
statement is false.
1) Accounting is an information system that identifies,
measures, records and 1) communicates relevant information that
objectively and correctly represents an organization's economic
activities.
2) The main objective of accounting is to help people to
invest in new products and 2) businesses.
3) A sole proprietorship is a business owned by one or more
persons. 3)
4) Unlimited liability is an advantage for both a...

True/False
Please write T if the statement is true or F if the
statement is false:
____1. The contribution format income
statement can be expressed in the following equation: Profit =
(Sales – Variable expenses) – Fixed
expenses.
____2. The CM ratio can also be
calculated by dividing the contribution margin per unit by the
selling price per unit.
_____3. Margin of safety in
dollars = Total sales - Break-even sales
_____4. The margin of
safety cannot...

TRUE/FALSE. Write 'T' if the statement is true and 'F' if the
statement is false.
6) Compounding always requires the use of a financial
calculator.
7) In the compound interest formula, i stands for periodic
interest rate.
8) Interest calculated on a balance every three months is said
to be compounded quarterly.
9) The present value of an annuity looks from the present to
the future.
10) Annuities certain have a specific stated number of
payments.
11) A bond quote...

1. Determine whether each statement below is True (T) or False
(F). a. ____ If A,B and C are elements whose electronegativities
satisfy xA > xB > xC, then then (ΔAC)1/2 = (ΔAB)1/2 +
(ΔBC)1/2 if the Pauling electronegativity scale is valid. b. ____
There is no interelectronic repulsion in the H2+ molecule. c. ____
The wave function N(1sA + 1sB) is the exact electronic wave
function for the ground electronic state of H2+. d. ____ The plane
perpendicular to...

Classify the following statements as true (T), or false (F). If
you classify statement as false, correct it, or explain why it is
false.
(a) If given stereoisomer rotates the plane of polarized light
clockwise, its enantiomer rotates counter‐clockwise by exactly the
same magnitude
(b) If compound has one stereogenic
center with S configuration, it always rotates the plane of
polarized light counter-clockwise.
(c) Molecule possessing stereogenic
centers is always chiral.
(d) Mixture of equal amounts of both
enantiomers...

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