Given a normal distribution with µ = 101 and o = 20, and given you select a sample of n = 16, complete parts (a) through (d). a. What is the probability that X is less than 95? P(X< 95) = (Type an integer or decimal rounded to four decimal places as needed.) b. What is the probability that X is between 95 and 95.5? P(95 102.8) = (Type an integer or decimal rounded to four decimal places as needed.) d. There is a 69% chance that X is above what value? (Type an integer or decimal rounded to two decimal places as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
icon
Related questions
Question

Given a normal distribution with μ=101 and σ=20​, and given you select a sample of n=16​, complete parts​ (a) through​ (d).

7. Given a normal distribution with µ = 101 and o = 20, and given you select a sample of n = 16, complete
parts (a) through (d).
a. What is the probability that X is less than 95?
P(X< 95) =
(Type an integer or decimal rounded to four decimal places as needed.)
b. What is the probability that X is between 95 and 95.5?
P(95 <X< 95.5) =
(Type an integer or decimal rounded to four decimal places as needed.)
c. What is the probability that X is above 102.8?
P(X> 102.8) =
%3D
(Type an integer or decimal rounded to four decimal places as needed.)
d. There is a 69% chance that X is above what value?
%3D
(Type an integer or decimal rounded to two decimal places as needed.)
Transcribed Image Text:7. Given a normal distribution with µ = 101 and o = 20, and given you select a sample of n = 16, complete parts (a) through (d). a. What is the probability that X is less than 95? P(X< 95) = (Type an integer or decimal rounded to four decimal places as needed.) b. What is the probability that X is between 95 and 95.5? P(95 <X< 95.5) = (Type an integer or decimal rounded to four decimal places as needed.) c. What is the probability that X is above 102.8? P(X> 102.8) = %3D (Type an integer or decimal rounded to four decimal places as needed.) d. There is a 69% chance that X is above what value? %3D (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 5 steps

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill