Given a normal distribution with μ = 102 and o=10, and given you select a sample of n = 4, complete parts (a) through (d). a. What is the probability that X is less than 90? P(X<90) = 0.0082 (Type an integer or decimal rounded to four decimal places as needed.) b. What is the probability that X is between 90 and 91.5? P(90 < X<91.5) = 0.0097 (Type an integer or decimal rounded to four decimal places as needed.) c. What is the probability that X is above 102.2? P(X> 102.2) = 0.4840 (Type an integer or decimal rounded to four decimal places as needed.) d. There is a 69% chance that X is above what value? X= (Type an integer or decimal rounded to two decimal places as needed.)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
100%
Given a normal distribution with μ = 102 and o=10, and given you select a sample of n = 4, complete parts (a) through (d).
a. What is the probability that X is less than 90?
P(X<90) = 0.0082
(Type an integer or decimal rounded to four decimal places as needed.)
b. What is the probability that X is between 90 and 91.5?
P(90 < X<91.5) = 0.0097
(Type an integer or decimal rounded to four decimal places as needed.)
c. What is the probability that X is above 102.2?
P(X> 102.2) = 0.4840
(Type an integer or decimal rounded to four decimal places as needed.)
d. There is a 69% chance that X is above what value?
X=
(Type an integer or decimal rounded to two decimal places as needed.)
Transcribed Image Text:Given a normal distribution with μ = 102 and o=10, and given you select a sample of n = 4, complete parts (a) through (d). a. What is the probability that X is less than 90? P(X<90) = 0.0082 (Type an integer or decimal rounded to four decimal places as needed.) b. What is the probability that X is between 90 and 91.5? P(90 < X<91.5) = 0.0097 (Type an integer or decimal rounded to four decimal places as needed.) c. What is the probability that X is above 102.2? P(X> 102.2) = 0.4840 (Type an integer or decimal rounded to four decimal places as needed.) d. There is a 69% chance that X is above what value? X= (Type an integer or decimal rounded to two decimal places as needed.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
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 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…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
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
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman