Determine if each of the following scenarios are geometric,
binomial or neither. (**If geometric or binomial make sure you
explain how all conditions are met).
A home improvement store advertises that 87% of its sunflower
seeds will germinate (grow). Suppose that this claim is true. You
buy a packet with 30 sunflower seeds from the store and plant them
in your front yard. Let Y = the number of seeds that
germinate.
Shuffle a standard deck of cards (52 cards)....
In each of the following cases, decide whether a binomial
distribution is an appropriate model, and give your reasons.
1. A firm uses a computer-based training module to prepare 20
machinists to use new numerically controlled lathes. The module
contains a test at the end of the course; X is the number who
perform satisfactorily on the test.
2. The list of potential product testers for a new product
contains 100 persons chosen at random from the adult residents of...
If x is a binomial random variable, compute P(x) for each of the following cases:
(a) P(x≤5),n=7,p=0.3
P(x)=
(b) P(x>6),n=9,p=0.2
P(x)=
(c) P(x<6),n=8,p=0.1
P(x)=
(d) P(x≥5),n=9,p=0.3
P(x)=
If x is a binomial random variable, compute p(x) for each of the
following cases:
(a) n=3,x=2,p=0.9 p(x)=
(b) n=6,x=5,p=0.5 p(x)=
(c) n=3,x=3,p=0.2 p(x)=
(d) n=3,x=0,p=0.7 p(x)=
Suppose that X ~ NB(r, p) [negative binomial distribution] and
that Y ~ B(n, p) [binomial].
a. Give a probabilistic argument to show that P(X > n) = P(Y
< r).
b. Use the FPF to express the equality in part (a) in terms of
PMFs.
c. Using the complementation rule, how many terms of the PMF of
X must be evaluated to determine P(X > n)?
d. How many terms of the PMF of Y must be evaluated to...
Determine taxable income in each of the following independent
cases. In all cases, the company was very profitable in all years
prior to 2017 and it had retained earnings of $1,000,000 at the end
of 2017.
In 2018, Company A has taxable income of $60,000 prior to
consideration of any net operating loss. In 2017, the Company
incurred a net operating loss of $10,000. They did not elect to
waive the carryback period. Determine 2018 taxable income.
In 2018, Company...
In most cases a paragraph or so for each question will be
sufficient. For problems, show your work such as calculator inputs
and outputs for full credit.
What determines g and R in the DGM?
In most cases a paragraph or so for each question will be
sufficient. For problems, show your work such as calculator inputs
and outputs for full credit.
How do we determine a firm’s cash flows? What are the
equations, and where do we find the information?
If x is a binomial random variable, compute ?(?) for each of the
following cases:
(a) ?(?≤1),?=3,?=0.4
?(?)=
(b) ?(?>1),?=4,?=0.2
?(?)=
(c) ?(?<2),?=4,?=0.8
?(?)=
(d) ?(?≥5),?=8,?=0.6
?(?)=
If x is a binomial random variable, compute P(x) for each of the
following cases, rounded to two decimal places:
c) P(x<1),n=5,p=0.1
d) P(x≥3),n=4,p=0.5