Question

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 region, label and scale the horizontal axis for X, and find the probability. (Round your answer to four decimal places.) P(48 < X < 54) =

3.X ~ N(70, 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 region, label and scale the horizontal axis for X, and find the probability. (Round your answer to four decimal places.) P(36 < X < 66) =

4.Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 254 feet and a standard deviation of 58 feet. We randomly sample 49 fly balls.

A) What is the probability that the 49 balls traveled an average of less than 246 feet? (Round your answer to four decimal places.).Find the 80th percentile of the distribution of the average of 49 fly balls. (Round your answer to two decimal places.)

B) Find the 80th percentile of the distribution of the average of 49 fly balls. (Round your answer to two decimal places.)

Answer #1

Questions are answered below.

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.
Find the 40th percentile. (Round your answer to two decimal
places.)
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.)
Sketch the graph, shade the region, label and scale the
horizontal axis for...

X ~ N(50, 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.
A. Find the 30th percentile. (Round your answer to two decimal
places.)
B. find the probability. (Round your answer to four decimal
places.)
P(18 < X < 49) =
C. Give the distribution of ΣX.
D. Find the minimum value for the upper quartile for
ΣX. (Round your answer to...

X ~ N(60, 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.
1. 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(56 < X < 62) =
2.Sketch the graph, shade the region, label and scale the
horizontal axis for X,
and find the...

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.
Part (b) Give the distribution of X. (Enter an exact number as
an integer, fraction, or decimal.) X ~ ,_____ (______, _____)
Part (c) Find the probability. (Round your answer to four
decimal places.) P(X < 60) =
Part (d) Find the 20th percentile. (Round your answer to two...

X ~ N(60, 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 (f)
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(19 < X < 57) =
.2032incorrect
Part (g)
Give the distribution of ΣX.
ΣX ~
n(1500, 325) 325 is
incorrect
,...

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....

X ~ N(70, 14). 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 region,
label and scale the horizontal axis for X, and find the
probability. (Roundyour answer to four decimal places.) P(66 < X
< 72) =

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 probability. (Round your answer to four decimal
places.)
P(28 < X < 56)
Please if at all possible, list the steps on how to solve this
using a TI84 calculator!

1.) X ~ N(60, 9). Suppose that you form random
samples of 25 from this distribution. Let¯¯¯¯¯XX¯ be the random
variable of averages. Let ΣX be the random variable of
sums. For parts c through f, sketch the graph, shade the region,
label and scale the horizontal axis for¯¯¯¯¯XX¯, and find the
probability. Using Excel and Excel functions for each
question show me how you got your answer.
¯¯¯¯¯XX¯ ~ _____(_____,_____)
P(¯¯¯xx¯< 60) = _____
Find the 30th percentile for...

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...

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