4. Five hundred children participated in a field demonstration. Their heights averaged 110 cm with a standard deviation of 6 cm. a. What is the probability that a child, picked at random, has a height greater than 116 cm? b. What is the probability that the height of a child, picked at random, is less than 104 cm? , c. How many children belong to the upper 15% of the group?

4. Five hundred children participated in a field demonstration. Their heights averaged 110 cm with a standard deviation of 6 cm. a. What is the probability that a child, picked at random, has a height greater than 116 cm? b. What is the probability that the height of a child, picked at random, is less than 104 cm? , c. How many children belong to the upper 15% of the group?

Name: 4. Five hundred children participated in a field demonstration. Their
Uploaded: 2024-03-20T07:06:41.000Z
Channel: Bartleby
Description: 4. Five hundred children participated in a field demonstration. Their heightsaveraged 110 cm with a standard deviation of 6 cm.a. What is the probability that a child, picked at random, has a heightgreater than 116 cm?b. What is the probability that

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

The average price of a college math textbook is $153 and the standard deviation is $29. Suppose that 8 textbooks are randomly chosen. Round all answers to 4 decimal places where possible. a. What is the distribution of ? I - N( b. For the group of 8, find the probability that the average price is between $138 and $147. c. Find the first quartile for the average textbook price for this sample size. $ (round to the nearest cent) d. For part b), is the assumption that the distribution is normal necessary? O YesO No Hint: Some Helpful Videos:
Can you please answer parts c and d of the attached question. Thank you.
The average price of a college math textbook is $162 and the standard deviation is $27. Suppose that 10 textbooks are randomly chosen. Round all answers to 4 decimal places where possible. a. What is the distribution of ? ~ N( b. For the group of 10, find the probability that the average price is between $161 and $167. c. Find the 95th percentile for the average textbook price for this sample size. $ (round to the nearest cent) d. Find the 95th percentile for an individual textbook price. (round to the nearest cent) $ e. For part b), is the assumption that the distribution is normal necessary? YesO No
4. The average salary for first-year teachers is $27,989. Assume the distribution is approximately normal with standard deviation $3250. a. What is the probability that a randomly selected first-year teacher makes between $20,000 and $30,000 each year? b. What is the probability that a randomly selected first-year teacher has a salary less than $20,000?
Suppose that the speed at which cars go on the freeway is normally distributed with mean 79 mph and standard deviation 5 miles per hour. Let X be the speed for a randomly selected car. a. What is the distribution of X? X - N( 79 5 or or b. If one car is randomly chosen, find the probability that it is traveling more than 78 mph. Round to 4 decumal places. c. If one of the cars is randomly chosen, find the probability that it is traveling between 81 and 86 mph. Round to 4 decimal places.
Assume that in a given year the mean mathematics SAT score was 495, and the standard deviation 111. A sample of 61 score is chosen. ANSWER ALL QUESTIONS PLEASE SHOW WORK A.What is the probability that same mean score is less than 484? B. The probability that the sample mean score is between 460 and 500 is? C. The 10th percentile of the sample mean is D. Would it be unusual if the sample mean were greater than 520? And what is the probability? E. Do you think it would be unusual for an individual to get a score greater than 520? What is the probability
1. The full weight of a brand of a pack of sweet potato fries is a random variable with u = 450 g and 6 = 5.1 g. Assume that you pick a random of pack from the population. a. Find the proportion of packs that contain less than 440g.
The average price of a college math textbook is $165 and the standard deviation is $25. Suppose that 10 textbooks are randomly chosen. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( b. For the group of 10, find the probability that the average price is between $162 and $170. c. Find the third quartile for the average textbook price for this sample size. $ the nearest cent) d. For part b), is the assumption that the distribution is normal necessary? O No Yes (round to
45. Suppöse the average height of NBA players is normally distributed with mean 200cm and standard deviation 8.89cm. What is the probabilíty that a randomly selected players will have a height between 190cm and 210cm? M= 200 a. 0.7288 b. 0.7372 8=8.89 C. 0.1314 d. 0.7698 e. 0.8686
The arithmetic mean height of 50 students of a college is 5'8". The height of 30 of these is given in the frequency distribution below. Find the arithmetic mean height of the remaining 20 students.
Choose from the choices and show the solution.
Explain how 7.5 is the answer. Please answer correct calculation Don't answer by pen paper