Find V(X) of the geometric distribution (Hint for the problem:
Use the interchange derivative and summation,...
Find V(X) of the geometric distribution (Hint for the problem:
Use the interchange derivative and summation, Find E(X^2), and then
use the formula V(X) = E(X^2) - E(X)^2). Please show all work and
all steps.
Use the geometric probability distribution to solve the
following problem.
On the leeward side of the island of Oahu, in a small village,
about 71% of the residents are of Hawaiian ancestry. Let n
= 1, 2, 3, … represent the number of people you must meet until you
encounter the first person of Hawaiian ancestry in the
village.
(a) Write out a formula for the probability distribution of the
random variable n. (Enter a mathematical
expression.)
P(n) =
(b)...
Use the geometric probability distribution to solve the
following problem.
On the leeward side of the island of Oahu, in a small village,
about 89% of the residents are of Hawaiian ancestry. Let n
= 1, 2, 3, … represent the number of people you must meet until you
encounter the first person of Hawaiian ancestry in the
village.
(a)
Write out a formula for the probability distribution of the
random variable n. (Enter a mathematical
expression.)
P(n) =
(b)...
Use the geometric probability distribution to solve the
following problem.
On the leeward side of the island of Oahu, in a small village,
about 72% of the residents are of Hawaiian ancestry. Let n
= 1, 2, 3, … represent the number of people you must meet until you
encounter the first person of Hawaiian ancestry in the
village.
(a)
Write out a formula for the probability distribution of the
random variable n. (Enter a mathematical
expression.)
P(n) =
(b)...
Two questions:
2) Use the limit definition of the derivative to find the
derivative of f(x)= x^3 - 9x
3) Using limits, find an equation of the line tangent to the
function of g(x)= 4/x^2 at x= -2
Show All Work please! thank you :)
1. Use the geometric probability distribution to solve the
following problem.
On the leeward side of the island of Oahu, in a small village,
about 80% of the residents are of Hawaiian ancestry. Let n = 1, 2,
3, … represent the number of people you must meet until you
encounter the first person of Hawaiian ancestry in the
village.
(a) Write out a formula for the probability distribution of
the random variable n. (Enter a mathematical expression.)
P(n) =...
Let X ∼ Normal(0, σ^2 ).
(a) Find the distribution of X^2/σ^2 . (Hint: It is a pivot
quantity.)
(b) Give an interval (L, U), where U and L are based on X, such
that P(L < σ^2 < U) = 0.95.
(c) Give an upper bound U based on X such that P(σ^2 < U) =
0.95.
(d) Give a lower bound L based on X such that P(L < σ^2 ) =
0.95
Assume the geometric distribution applies. Use the given
probability of success p to find the indicated probability.
FindP(5) when p=0.60
P(5)=
(Round to five decimal places as needed.)
2.
Given that x has a Poisson distribution with μ=5, what is the
probability that x=5?
P(5)≈
3.
Find the indicated probabilities using the geometric
distribution, the Poisson distribution, or the binomial
distribution. Then determine if the events are unusual. If
convenient, use the appropriate probability table or technology to
find the...
Find the indicated probabilities using the geometric
distribution, the Poisson distribution, or the binomial
distribution. Then determine if the events are unusual. If
convenient, use the appropriate probability table or technology to
find the probabilities.
Fifty-nine percent of adults say that they have cheated on a
test or exam before. You randomly select six adults. Find the
probability that the number of adults who say that they have
cheated on a test or exam before is (a) exactly four,(b) more...
Find the indicated probabilities using the geometric
distribution, the Poisson distribution, or the binomial
distribution. Then determine if the events are unusual. If
convenient, use the appropriate probability table or technology to
find the probabilities.
The mean number of births per minute in a country in a recent
year was about
sixsix.
Find the probability that the number of births in any given
minute is (a) exactly
fourfour,
(b) at least
fourfour,
and (c) more than
fourfour.
Find the indicated probabilities using the geometric
distribution, the Poisson distribution, or the binomial
distribution. Then determine if the events are unusual. If
convenient, use the appropriate probability table or technology to
find the probabilities. A newspaper finds that the mean number of
typographical errors per page is six. Find the probability that
(a) exactly five typographical errors are found on a page, (b) at
most five typographical errors are found on a page, and (c) more
than five typographical...