Question

In the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately...

In the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately normally distributed with a mean of 54.8 inches, and standard deviation of 7.7 inches. A) What is the probability that a randomly chosen child has a height of less than 63.15 inches? B) What is the probability that a randomly chosen child has a height of more than 50.3 inches?

Homework Answers

Answer #1

Solution :

Given that ,

mean = = 54.8

standard deviation = = 7.7

A)

P(x < 63.15) = P((x - ) / < (63.15 - 54.8) / 7.7)

= P(z < 1.08)

= 0.8599 using standard normal table.

Probability = 0.8599

B)

P(x > 50.3) = 1 - P(x < 50.3)

= 1 - P((x - ) / < (50.3 - 54.8) / 7.7)

= 1 - P(z < -0.58)

= 1 - 0.2810   

= 0.7190

Probability = 0.7190

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
In the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately...
In the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately normally distributed with a mean of 54.9 inches, and standard deviation of 4 inches. A) What is the probability that a randomly chosen child has a height of less than 56.6 inches? B) What is the probability that a randomly chosen child has a height of more than 51.1 inches?
In the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately...
In the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately normally distributed with a mean of 55.6 inches, and standard deviation of 6.9 inches. A) What is the probability that a randomly chosen child has a height of less than 55.95 inches? Answer=_____ (Round your answer to 3 decimal places.) B) What is the probability that a randomly chosen child has a height of more than 59.2 inches? Answer= _____(Round your answer to 3...
In the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately...
In the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately normally distributed with a mean of 56.4 inches, and standard deviation of 6.5 inches. A) What is the probability that a randomly chosen child has a height of less than 63.95 inches? Answer= (Round your answer to 3 decimal places.) B) What is the probability that a randomly chosen child has a height of more than 72.8 inches? Answer= (Round your answer to 3...
In the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately...
In the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately normally distributed with a mean of 53.4 inches, and standard deviation of 6.4 inches. A) What is the probability that a randomly chosen child has a height of less than 51 inches? Answer= (Round your answer to 3 decimal places.) B) What is the probability that a randomly chosen child has a height of more than 38.7 inches? Answer= (Round your answer to 3...
In the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately...
In the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately normally distributed with a mean of 56.4 inches, and standard deviation of 7.9 inches. A) What is the probability that a randomly chosen child has a height of less than 64.95 inches? Answer= (Round your answer to 3 decimal places.) B) What is the probability that a randomly chosen child has a height of more than 49.8 inches? Answer= (Round your answer to 3...
In the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately...
In the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately normally distributed with a mean of 55.8 inches, and standard deviation of 5.4 inches. A) What is the probability that a randomly chosen child has a height of less than 60.1 inches? Answer= (Round your answer to 3 decimal places.) B) What is the probability that a randomly chosen child has a height of more than 50.8 inches? Answer= (Round your answer to 3...
In the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately...
In the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately normally distributed with a mean of 54.3 inches, and standard deviation of 4.6 inches. A) What is the probability that a randomly chosen child has a height of less than 61 inches? Answer= (Round your answer to 3 decimal places.) B) What is the probability that a randomly chosen child has a height of more than 41.6 inches? Answer= (Round your answer to 3...
In the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately...
In the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately normally distributed with a mean of 53.6 inches, and standard deviation of 6.9 inches. A) What is the probability that a randomly chosen child has a height of less than 56.55 inches? Answer= (Round your answer to 3 decimal places.) B) What is the probability that a randomly chosen child has a height of more than 62.4 inches? Answer= (Round your answer to 3...
In the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately...
In the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately normally distributed with a mean of 53.4 inches, and standard deviation of 2.8 inches. What is the probability that a randomly chosen child has a height of more than 59.1 inches?    (Round your answers to 3 decimal places.)
In the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately...
In the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately normally distributed with a mean of 54.2 inches, and standard deviation of 5.7 inches. A) What is the probability that a randomly chosen child has a height of less than 49.35 inches? Answer= ? (Then Round your answer to 3 decimal places to find answer.) B) What is the probability that a randomly chosen child has a height of more than 59.4 inches? Answer=...