Question
In: Statistics and Probability
X ~ N(70, 11). Suppose that you form random samples of 25 from this distribution. Let...
X ~ N(70, 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.
A. Find the 30th percentile. (Round your answer to two decimal places.)
B. 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(66 < X < 72) =
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(32 < X < 66) =
D. Give the distribution of ΣX. ΣX ~ _____ ( , )
E. Find the minimum value for the upper quartile for ΣX. (Round your answer to two decimal places.)
F. Sketch the graph, shade the region, label and scale the horizontal axis for ΣX, and find the probability. (Round your answer to four decimal places.) P(1650 < ΣX < 1800) =
Solutions
orchestra answered 2 years agoRelated Solutions
X ~ N(70, 11). Suppose that you form random samples of 25 from this distribution. Let...
X ~ N(70, 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.
1. Find the 30th percentile. (Round your answer to two decimal
places.)
2. 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(66 < X < 72) =
3. Sketch the graph, shade...
X ~ N(70, 14). Suppose that you form random samples of 25 from this distribution. Let...
X ~ N(70, 14). Suppose that you form random samples of 25 from
this distribution. Let X bar be the random variable of averages.
Let ΣX be the random variable of sums. Find the 40th percentile
X ~ N(50, 11). Suppose that you form random samples of 25 from this distribution. Let...
X ~ N(50, 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.
A. Find the 40th percentile. (Round your answer to two decimal
places.)
B. 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(48 < X < 54) =
C.
Sketch the graph, shade...
X ~ N(50, 13). Suppose that you form random samples of 25 from this distribution. Let...
X ~ N(50, 13). 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.
Part (a)
Sketch the distributions of X and X on the same
graph.
A
B)
C)D)
Part (b)
Give the distribution of X. (Enter an exact number as an
integer, fraction, or decimal.)
X ~ ____(____,____)
Part (c)
Sketch the graph, shade the region, label and scale the horizontal...
X ~ N(60, 12). Suppose that you form random samples of 25 from this distribution. Let...
X ~ N(60, 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.
Find the 20th percentile. (Round your answer to two decimal
places.)
X ~ N (60, 9). Suppose that you form random samples of 25 from this distribution....
X ~
N (60, 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. To make you easy, drawing the graph, shade the region, label
and scale the horizontal axis for X− and find the
probability.
X−~ N (60, 9/ 25)
9) P (X−< 60) = _____
a. 0.4
b. 0.5
c. 0.6
d. 0.7
10) Find the 30th percentile for the mean.
a. 0.56...
Let X be the mean of a random sample of size n from a N(μ,9) distribution....
Let X be the mean of a random sample of size n from a N(μ,9)
distribution.
a. Find n so that X −1< μ < X +1 is a confidence interval
estimate of μ with a confidence level of at least 90%.
b.Find n so that X−e < μ < X+e is a confidence interval
estimate of μ withaconfidence levelofatleast (1−α)⋅100%.
Suppose the random variables X and Y form a bivariate normal distribution. You are given that...
Suppose the random variables X and Y form a bivariate normal
distribution. You are given that E[X] = 3, E[Y ] = −2, σX = 4, and
σY = 3. Find the probability that X and Y are within 3 of each
other under the following additional assumptions:
(a) Corr(X, Y ) = 0
(b) Corr(X, Y ) = −0.6
Let X be a binomial random variable with n = 11 and p = 0.3. Find...
Let X be a binomial random variable with n =
11 and p = 0.3. Find the following values. (Round your
answers to three decimal places.)
(a)
P(X = 5)
(b)
P(X ≥ 5)
(c)
P(X > 5)
(d)
P(X ≤ 5)
(e)
μ = np
μ =
(f) σ =
npq
σ =
Let X be a random variable that represents the weights of newborns and suppose the distribution...
Let X be a random variable that represents the weights of
newborns and suppose the distribution of weights of newborns is
approximately normal with a mean of 7.44 lbs and a standard
deviation of 1.33 lbs. Use Geogebra to help respond to the parts
that follow. Don’t forget to press “enter” or somehow make Geogebra
adjust to things you type. (a) (1 point) What’s the probability
that a random newborn will weigh more than 9 lbs?
(b) (1 point) What’re...
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