Question

Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 257 feet and a standard deviation of 54 feet. We randomly sample 36 fly balls. Let X¯= average distance in feet for 36 fly balls. Enter numbers as integers or fractions in "p/q" form, or as decimals accurate to nearest 0.01 .

Use the mean and standard deviation of X¯ to determine the z value for X¯=240 .

What is the probability that the 36 balls traveled an average of greater than 240 feet?

Find the 80th percentile of the distribution of the average of 36 fly balls. That is, find x so that P(X¯<x)=0.8 .

Answer #1

Suppose that the distance of fly balls hit to the outfield (in
baseball) is normally distributed with a mean of 240 feet and a
standard deviation of 50 feet. Let X = distance in feet
for a fly ball.
If one fly ball is randomly chosen from this distribution, what
is the probability that this ball traveled fewer than 202 feet?
(Round your answer to four decimal places.)
Find the 80th percentile of the distribution of fly balls.
(Round your...

Suppose that the distance of fly balls hit to the outfield (in
baseball) is normally distributed with a mean of 240 feet and a
standard deviation of 40 feet. Let X = distance in feet
for a fly ball.
a.) If one fly ball is randomly chosen from this distribution,
what is the probability that this ball traveled fewer than 212
feet? (Round your answer to four decimal places.)
b.) Find the 80th percentile of the distribution of fly balls....

Suppose that the distance of fly balls hit to the outfield (in
baseball) is normally distributed with a mean of 240 feet and a
standard deviation of 58 feet. We randomly sample 49 fly balls.
A) If X= average distance in feet for 49 fly balls, then give
the distribution of X. Round your standard deviation to two decimal
places.
B) What is the probability that the 49 balls traveled an average
of less than 232 feet? (Round your answer...

Suppose that the distance of fly balls hit to the outfield (in
baseball) is normally distributed with a mean of 248 feet and a
standard deviation of 54 feet. We randomly sample 49 fly balls.
Part (a) If X = average distance in feet for 49 fly balls, then
give the distribution of X. Round your standard deviation to two
decimal places. X ~ , .
Part (b) What is the probability that the 49 balls traveled an
average of...

Suppose that the distance of fly balls hit to the outfield (in
baseball) is normally distributed with a mean of 210 feet and a
standard deviation of 40 feet. Let X = distance in feet for a fly
ball.
A) Give the distribution of X.
X ~ __ ____,_____
B) If one fly ball is randomly chosen from this distribution,
what is the probability that this ball traveled fewer than 184
feet? (Round your answer to four decimal places.)
c)...

Suppose that the distance of fly balls hit to the outfield (in
baseball) is normally distributed with a mean of
180 feet and a standard deviation of
60feet. Let X= distance in feet
for a fly ball.
In each appropriate box you are to enter either a rational
number in "p/q" format or a decimal value accurate to the nearest
0.01 .
X∼ (pick one) EUBN
( , )
.
For a random fly ball, what is the probability that this ball
traveled...

Suppose that the distance of fly balls hit to the outfield (in
baseball) is normally distributed with a mean of 262 feet and a
standard deviation of 45 feet. Let X be the distance in feet for a
fly ball.
a. What is the distribution of X? X ~ N(,)
b. Find the probability that a randomly hit fly ball travels less
than 304 feet. Round to 4 decimal places.
c. Find the 80th percentile for the distribution of distance...

Suppose that the distance of fly balls hit to the outfield (in
baseball) is normally distributed with a mean of 266 feet and a
standard deviation of 44 feet. Let X be the distance in feet for a
fly ball.
a. What is the distribution of X? X ~ N
b. Find the probability that a randomly hit fly ball travels
less than 240 feet. Round to 4 decimal places
c. Find the 75th percentile for the distribution of distance...

Question 1
Suppose that the distance of fly balls hit to the outfield (in
baseball) is normally distributed with a mean of 248 feet and a
standard deviation of 54 feet. We randomly sample 49 fly balls.
a) If X = average distance in feet for 49 fly balls, then give
the distribution of X. Round your standard deviation to two decimal
places.
X -N ( ?, ?)
b)What is the probability that the 49 balls traveled an average
of...

Suppose that the distance of fly balls hit to the outfield (in
baseball) is normally distributed with a mean of 252 feet and a
standard deviation of 60 feet. We randomly sample 49 fly
balls.
Part (a)
If
X
= average distance in feet for 49 fly balls, then give the
distribution of
X.
Round your standard deviation to two decimal places.
X
~
,
.
Part (b)
What is the probability that the 49 balls traveled an average of...

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