Question

3. Suppose X~N(8,5).

(a) Find P(X < 6). Include a sketch of the density (the bell curve) and label the relevant features. That is, make your graph look like my graphs in the lecture note.

(b) Find P(X >7). Include a sketch of the density, etc.

(c) Find the 82^{nd}
percentile. Try this using the z-table and also the Excel function.
Sketch the density and label relevant features.

Answer #1

X ~ N(50, 9). Suppose that you form random
samples of 25 from this distribution.
Let X be the random variable of averages.
Part (a)
Sketch the distributions of X and X-bar on the
same graph.
Part (b)
Give the distribution of X-bar.
(Enter an exact number as an integer, fraction, or decimal.)
X ~
,
Part (c)
Sketch the graph, shade the region, label and scale the horizontal
axis for
X-bar, and find the probability. (Round your answer to...

Sketch a graph of the function
h(x)=3/2sec2x
by first sketching a graph of y =
3/2cos2x and then drawing the graph of
y=h(x) on top of it. [Since you are drawing two graphs on
the same set of axes, either use a different color to distinguish
between the graphs or make one a dashed curve and the other solid.]
Be sure to show work and intermediate steps to demonstrate that you
did this WITHOUT a calculator or graphing program. On...

X ~ N(70, 9). Suppose that you form random samples of 25 from
this distribution. Let X be the random variable of averages. Let ΣX
be the random variable of sums.
B) Give the distribution of
X.
(Enter an exact number as an integer, fraction, or decimal.)
C)Sketch the graph, shade the region, label and scale the
horizontal axis for
X,
and find the probability. (Round your answer to four decimal
places.)
P(X < 70) =
D)Find the 20th percentile....

a.) Find the following limit.
lim x→−∞ x^3 - sqrt(4x^6-3x)/7x^3+x
b.) Sketch the graph of a function f(x) that has all of the
following features:
f ' (x) > 0 on the intervals (−∞, −4) ∪ (3,∞).
f ' (x) < 0 on the intervals (−4, −1) ∪ (−1, 3).
f '' (x) > 0 on the intervals (−∞, −4) ∪ (−4, −2) ∪ (−1,
4).
f '' (x) < 0 on the intervals (−2, −1) ∪ (4,∞).
x-intercepts when...

Let X be a normal random variable with ?=−10 and ?=2. Let Z be a
standard normal random variable. Draw density plots for both random
variables on the same graph. You will want an x-axis that goes from
around -20 to around 5. Your y-axis will start at zero and will
need go high enough to cover the highest density. Recall that the
density of a normal random variable at the point ? with mean ? and
standard deviation ?...

1. X ~ N(60, 11). Suppose that you form random samples of 25
from this distribution. Let X be the random variable of averages.
Let ΣX be the random variable of sums. Find the 30th percentile.
(Round your answer to two decimal places.)
2. X ~ N(50, 12). Suppose that you form random samples of 25
from this distribution. Let X be the random variable of averages.
Let ΣX be the random variable of sums. Sketch the graph, shade the...

3. Solve the following problem: The supply function for x units
of a commodity is p = 30 + 100 ln ( 2 x + 1 )dollars and the
demand function is p = 700 − e^0.1x. Find both the consumer's and
producer's surpluses. Use your graphing calculator to find the
market equilibrium and compute definite integrals necessary to
compute the surpluses. Note you won't be able to do some of the
integrals otherwise. Explain your steps.
4. Sketch...

Suppose that the average length of stay in a U.S. hospital is
approximately normally distributed and said to be 2.4 days with a
standard deviation of 0.9 days. We randomly survey 80 women who
recently bore children in a U.S. hospital. Which is more likely to
occur:
An individual stayed more than 3 days.
The average stay of 80 women was more than three days.
Please explain your choice. Use terms discussed in Unit 2:
Central Limit Theorem, standard deviation,...

The monthly demand for a certain brand of perfume is given by
the demand equation
p=100e^-0.0002x+150
where p denotes the retail unit price (in dollars) and x denotes
the quantity (in 1-oz bottles) demanded.
a. Find the rate of change of the price per bottle when x = 1000
and when = 5 2000.
b. What is the price per bottle when x =1000? When x =
2000?
1. (10 pt) For the data given:
(i)
State and solve part...

1. In a given industry located in the town of Teahupo’o all
firms have access to the same technology. The cost curve for
Tikei’s firm is: TC = 3q2, where q is the output of
Tikei’s firm. Marginal cost is MC = 6q.
Initially, there are 60 firms in the industry (Tikei’s firm +
Mako’s firm + Moana’s firm + Vanea’s firm + 56 other firms). The 60
firms in the industry are identical in every way.
a) Find the...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 12 minutes ago

asked 29 minutes ago

asked 37 minutes ago

asked 42 minutes ago

asked 43 minutes ago

asked 51 minutes ago

asked 51 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago