Heights of 10 year olds Heights of 10 year olds, regardless of gender, closely follow a normal distribution with mean 53 inches and standard deviation 5 inches. (a) What is the probability that a randomly chosen 10 year old is shorter than 46 inches? (b) What is the probability that a randomly chosen 10 year old is between 49 and 70 inches? (c) If the tallest 15% of the class is considered very tall, what is the height cutoff for very tall? inches (d) Find a value k so that 45% of 10 year olds are within k inches of 53 inches tall. k = (e) The height requirement for Batman the Ride at Six Flags Magic Mountain is 54 inches. (Children who are too tall cannot safely ride.) What percent of 10 year olds cannot go on this ride?

Heights of 10 year olds Heights of 10 year olds, regardless of gender, closely follow a normal distribution with mean 53 inches and standard deviation 5 inches. (a) What is the probability that a randomly chosen 10 year old is shorter than 46 inches? (b) What is the probability that a randomly chosen 10 year old is between 49 and 70 inches? (c) If the tallest 15% of the class is considered very tall, what is the height cutoff for very tall? inches (d) Find a value k so that 45% of 10 year olds are within k inches of 53 inches tall. k = (e) The height requirement for Batman the Ride at Six Flags Magic Mountain is 54 inches. (Children who are too tall cannot safely ride.) What percent of 10 year olds cannot go on this ride?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

In Pittsburgh, Pennsylvania, about 56% of the days in a year are cloudy. The month of June has 30 days. What is the mean and the standard deviation for the number of cloudy days in June? Hint: This is a binomial distribution a) The mean is______ (round to 1 decimal place) b) The standard deviation is______ (round to 1 decimal place)
help plz asap
Coal is carried from a mine in West Virginia to a power plant in New York in hopper cars on a long train. The automatic hopper car loader is set to put 65 tons of coal into each car. The actual weights of coal loaded into each car are normally distributed, with mean ? = 65 tons and standard deviation ? = 1.7 ton. (a) What is the probability that one car chosen at random will have less than 64.5 tons of coal? (Round your answer to four decimal places.)(b) What is the probability that 37 cars chosen at random will have a mean load weight x of less than 64.5 tons of coal? (Round your answer to four decimal places.)
What is the shape of the male life expectancy distribution? What is greater the mean or the median? Considering the histogram, do you think it’s unusual for a male to live over 86 years old ? Why or why not What is the probability for a random sample of 36 males, their mean age of death will be greater than 86? Would this sample be considered unusual?
Coal is carried from a mine in West Virginia to a power plant in New York in hopper cars on a long train. The automatic hopper car loader is set to put 90 tons of coal into each car. The actual weights of coal loaded into each car are normally distributed, with mean ? = 90 tons and standard deviation ? = 1.1 ton. (a) What is the probability that one car chosen at random will have less than 89.5 tons of coal? (Round your answer to four decimal places.)(b) What is the probability that 39 cars chosen at random will have a mean load weight x of less than 89.5 tons of coal? (Round your answer to four decimal places.)
A recent survey reported that 38% of 18- to 29-year-olds in a certain country own tablets. Using the binomial distribution, complete parts (a) through (e) below. a. What is the probability that in the next six 18- to 29-year-olds surveyed, four will own a tablet? The probability is (Type an integer or a decimal. Round to four decimal places as needed.) b. What is the probability that in the next six 18- to 29-year-olds surveyed, all six will own a tablet? The probability is (Type an integer or a decimal. Round to four decimal places as needed.) c. What is the probability that in the next six 18- to 29-year-olds surveyed, at least four will own a tablet? The probability is (Type an integer or a decimal. Round to four decimal places as needed.) d. What are the mean and standard deviation of the number of 18- to 29-year-olds who will own a tablet in a survey of six? The mean number of 18- to 29-year-olds who own tablets out of six surveyed is. (Type an integer or a decimal. Round to four…
A pair of dice is rolled 210 times. What is the probability that a total of 7 occurs (a) at least 24 times? (b) between 38 and 48 times inclusive? (c) exactly 35 times? Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table.
Coal is carried from a mine in West Virginia to a power plant in New York in hopper cars on a long train. The automatic hopper car loader is set to put 62 tons of coal into each car. The actual weights of coal loaded into each car are normally distributed, with mean ? = 62 tons and standard deviation ? = 0.5 ton. (a) What is the probability that one car chosen at random will have less than 61.5 tons of coal? (Round your answer to four decimal places.)(b) What is the probability that 45 cars chosen at random will have a mean load weight x of less than 61.5 tons of coal? (Round your answer to four decimal places.)(c) Suppose the weight of coal in one car was less than 61.5 tons. Would that fact make you suspect that the loader had slipped out of adjustment? YesNo Suppose the weight of coal in 45 cars selected at random had an average x of less than 61.5 tons. Would that fact make you suspect that the loader had slipped out of adjustment? Why? Yes, the probability that this…
Coal is carried from a mine in West Virginia to a power plant in New York in hopper cars on a long train. The automatic hopper car loader is set to put 74 tons of coal into each car. The actual weights of coal loaded into each car are normally distributed, with mean ? = 74 tons and standard deviation ? = 1.9 ton. (a) What is the probability that one car chosen at random will have less than 73.5 tons of coal? (Round your answer to four decimal places.)(b) What is the probability that 50 cars chosen at random will have a mean load weight x of less than 73.5 tons of coal? (Round your answer to four decimal places.)
QuestionAssume the number of physical damage losses for houses as a result of hurricane Irma in Barbuda is normally distributed with a mean of 4000 and a standard deviation of 800. What is the probability that:a. More than 4160 losses will occurb. Between 3680 and 4320 losses will occurc. Between 4320 and 4480 losses will occurd. Above what number of physical claims does the highest 10% of the losses fall?
Coal is carried from a mine in West Virginia to a power plant in New York in hopper cars on a long train. The automatic hopper car loader is set to put 69 tons of coal into each car. The actual weights of coal loaded into each car are normally distributed, with mean ? = 69 tons and standard deviation ? = 1.5 ton. (a) What is the probability that one car chosen at random will have less than 68.5 tons of coal? (Round your answer to four decimal places.)(b) What is the probability that 46 cars chosen at random will have a mean load weight x of less than 68.5 tons of coal? (Round your answer to four decimal places.)(c) Suppose the weight of coal in one car was less than 68.5 tons. Would that fact make you suspect that the loader had slipped out of adjustment? YesNo Suppose the weight of coal in 46 cars selected at random had an average x of less than 68.5 tons. Would that fact make you suspect that the loader had slipped out of adjustment? Why? Yes, the probability that this…
Aaliyah is 24 years old. Based on a normal distribution with mean 52.8 years and standard deviation 10.3, what is the probability that a skydiver will be 24 years of age or less? 0.0026 0.0605 0.9974 0.9812 Previous O C C Address 4 Rain to stop Next ngeto