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 50 feet. Let X = distance in feet for a fly ball.Give the distribution of X.If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than 180 feet? (Round your answer to four decimal places.).Find the 80th percentile of the distribution of fly balls. (Round your answer to one decimal place.)ft. Write the probability statement. (Let k represent the score that corresponds to the 80th percentile.)

Suppose that the distance of fly balls hit to the outfielder ( in baseball) is normally distributed with a mean of 250 feet and a standard deviation of 50 feet. We randomly sample 49 fly balls.
a. In words define the random variable. X________.
b. What is the probability that the 49 balls traveled an average at least of 240 feet. Include a complete shaded graph, and write the probability statement. 
c. Find the 90th percentile of the distribution of the average of 49 fly balls.

Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 253 feet and a standard deviation of 45 feet.
Use your graphing calculator to answer the following questions. Write your answers in percent form. Round your answers to the nearest tenth of a percent.
a) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than 216 feet?

PP(fewer than 216 feet) = ______%

b) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled more than 246 feet?

PP(more than 246 feet) = ________%

Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 247 feet and a standard deviation of 42 feet.
Use your graphing calculator to answer the following questions. Write your answers in percent form. Round your answers to the nearest tenth of a percent.
a) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than 192 feet?

PP(fewer than 192 feet) = %

b) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled more than 204 feet?

PP(more than 204 feet) = 

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 40 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 216 feet. Round to 4 decimal places. 

c. Find the 70th percentile for the distribution of distance of fly balls. Round to 2 decimal places.  feet

Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 269 feet and a standard deviation of 40 feet. Let X be the distance in feet for a fly ball.

a. What is the distribution of X? 

b. Find the probability that a randomly hit fly ball travels less than 241 feet. Round to 4 decimal places.

c. Find the 90th percentile for the distribution of distance of fly balls. Round to 2 decimal places. 

Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 243 feet and a standard deviation of 55 feet.
Use your graphing calculator to answer the following questions. Write your answers in percent form. Round your answers to the nearest tenth of a percent.
a) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than 204 feet?

PP(fewer than 204 feet) = %

b) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled more than 216 feet?

PP(more than 216 feet) = %

Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 232 feet and a standard deviation of 52 feet. We randomly sample 49 fly balls.

I need help solving the problems below

1. What’s the probability that the 49 balls traveled an average of less than 224 feet? (answer must be rounded to four decimal places)
2. Sketch the graph. Scale the horizontal axis for 
   x̅. and shade the region corresponding to the probability
3. Find the 70th percentile of the distribution of the average of 49 fly balls. (answer must be rounded to two decimal places)
   

Can you please show me your work so I can understand and learn how you got the answer

Thank you

Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 200 feet and a standard deviation of 40 feet. Let X = distance in feet for a fly ball.

a. f one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than 180 feet? (Round your answer to four decimal places.)

b. Find the 80th percentile of the distribution of fly balls. (Round your answer to one decimal place

c. Write the probability statement. (Let k represent the score that corresponds to the 80th percentile.)

Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 267 feet and a standard deviation of 39 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 296 feet. Round to 4 decimal places. 

c. Find the 70th percentile for the distribution of distance of fly balls. Round to 2 decimal places.  feet

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. We randomly sample 49 fly balls.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~.What is the probability that the 49 balls traveled an average of less than 228 feet? Find the 70th percentile of the distribution of the average of 49 fly balls. (Round your answer to two decimal places.)
ft

Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 255 feet and a standard deviation of 43 feet. Let X be the distance in feet for a fly ball.

b. Find the probability that a randomly hit fly ball travels less than 219 feet. Round to 4 decimal places.

c. Find the 75th percentile for the distribution of distance of fly balls. Round to 2 decimal places.  answer in feet

Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 263 feet and a standard deviation of 43 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 223 feet. Round to 4 decimal places.

c. Find the 85th percentile for the distribution of distance of fly balls. Round to 2 decimal places. feet

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 49 feet.
Use your graphing calculator to answer the following questions. Write your answers in percent form. Round your answers to the nearest tenth of a percent.
a) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than 198 feet?

PP(fewer than 198 feet) = %

b) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled more than 222 feet?

PP(more than 222 feet) =

Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 267 feet and a standard deviation of 42 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 246 feet. Round to 4 decimal places. 

c. Find the 75th percentile for the distribution of the distance of fly balls. Round to 2 decimal places.  feet

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 41 feet.
Use your graphing calculator to answer the following questions. Write your answers in percent form. Round your answers to the nearest tenth of a percent.
a) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than 198 feet?

PP(fewer than 198 feet) = 

b) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled more than 228 feet?

PP(more than 228 feet) =