Solve the following problem. Show your solutions completely on the space provided.NO SOLUTIONS, NO POINTS.Problem:The heights of a group of boys are normally distributed with a mean of 54 inches andstandard deviation of 2.5 inches.1. What percentage of the population would have heights between 53 inches and 56inches?2. If a boy is chosen at random from this population, what is the probability that he isshorter than 52 inches?3. If a boy is chosen at random from this population, what is the probability that he istaller than 52 inches?4. If all possible samples of size 25 are drawn from this population, what percentage ofthem would have means between 53 inches and 55 inches?5. If a random sample of size 81 is drawn from this population, what is the probabilitythat the mean of this sample is larger than 53.5 inches?

As per Bartleby guideline expert have to answer first three subparts only dear student please upload…

Answered: Solve the following problem. Show your…

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

A scientist found that the lengths of a certain population of snakes can be reasonably described using a normal distribution with a mean of 42 cm and a standard deviation of 2 cm. If the scientist collected a sample of 89 snakes, how many of the snakes would be expected to have a length less than 40 cm? A 14 30 C 60 D 74
Please answer number 3
PLS. Solve Quickly Applications Problems According to a Sallie Mae survey and credit bureau data, in 2008, college students carried an average of $3173 debt on their credit cards (USA TODAY, April 13, 2009). Suppose that cur- rent credit card debts for all college students have a normal distribution with a mean of $3173 and a standard deviation of $800. Find the probability that credit card debt for a randomly se- lected college student is between $2109 and $3605.
Show complete solution for each item. don't type it. write it on paper
Cody took his first physics exam and scored an 80. The population mean for this exam is 70, and the standard deviation is 5. What is the probability of selecting a person with a score greater than Cody’s?
SOLVE AND GRAPH THE FOLLOWING. WRITE COMPLETE AND NEAT SOLUTIONS.
K The lengths of pregnancies are normally distributed with a mean of 269 days and a standard deviation of 15 days. a. Find the probability of a pregnancy lasting 308 days or longer. b. If the length of pregnancy is in the lowest 3%, then the baby is premature. Find the length that separates premature babies from those who are not premature. Click to view page 1 of the table. Click to view page 2 of the table. a. The probability that a pregnancy will last 308 days or longer is (Round to four decimal places as needed.) b. Babies who are born on or before (Round to the nearest integer as needed.) days are considered premature. .
B Choosing a topic Sk.. For data that is not normally distributed we can't use z-scores. However, there is an equation that works on any distribution. It's called Chebyshev's formula. The formula 1 where p is the minimum percentage of scores that fall within k k2 is p = 1 - standard deviations on both sides of the mean. Use this formula to answer the following questions. a) If you have scores and you don't know if they are normally distributed, find the minimum percentage of scores that fall within 2.2 standard deviations on both sides of the mean? b) If you have scores that are normally distributed, find the percentage of scores that fall within 2.2 standard deviations on both sides of the mean? c) If you have scores and you don't know if they are normally distributed, how many standard deviations on both sides of the mean do we need to go to have 64 percent of the scores? Note: To answer part c you will need to solve the equation for k.
Direction: Solve the following problems. Identify the given and provide the correct illustrations for each situation. Problem: The IQ of 100 STEM students in ZNHS are found out to be normally distributed, having a mean of 110 and a standard deviation of 10. a. If a scholarship is offered to students with IQ higher than 115, What is the percentage of qualified STEM students. b. if University of the Philippines requires at least an IQ of 100 for admission, how many of STEM students may be admitted? c. If University of the Philippines gives scholarship to the top 10% of the group, find the least IQ a ŠTEM student must have to avail scholarship.
Please answer A, B, & C.
Part C only please. Thank you!

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS