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Given a normal distribution with mean= 51 and standard deviation  = 8, and given you select a sample of n = 100, complete parts (a) through (d). a. What is the probability that X is less than 49? P(X <49) = (Type an integer or decimal rounded to four decimal places as needed.) b. What is the probability that X is between 49 and 51.5? P(49 < X < 51.5) = (Type an integer or decimal rounded to four decimal places as needed.) c. What is the probability that X is above 51.5? P(X > 51.5) = (Type an integer or decimal rounded to four decimal places as needed.) d. There is a 35% chance that X is above what value? X= (Type an integer or decimal rounded to two decimal places as needed.)

Given a normal distribution with mean= 51 and standard deviation  = 8, and given you select a sample of n = 100, complete parts (a) through (d). a. What is the probability that X is less than 49? P(X <49) = (Type an integer or decimal rounded to four decimal places as needed.) b. What is the probability that X is between 49 and 51.5? P(49 < X < 51.5) = (Type an integer or decimal rounded to four decimal places as needed.) c. What is the probability that X is above 51.5? P(X > 51.5) = (Type an integer or decimal rounded to four decimal places as needed.) d. There is a 35% chance that X is above what value? X= (Type an integer or decimal rounded to two decimal places as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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
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Given a normal distribution with mean= 51 and standard deviation  = 8, and given you select a sample of n = 100, complete parts (a) through (d).

a. What is the probability that X is less than 49?

P(X <49) =

(Type an integer or decimal rounded to four decimal places as needed.)

b. What is the probability that X is between 49 and 51.5?

P(49 < X < 51.5) =

(Type an integer or decimal rounded to four decimal places as needed.)

c. What is the probability that X is above 51.5?

P(X > 51.5) =

(Type an integer or decimal rounded to four decimal places as needed.)

d. There is a 35% chance that X is above what value?

X=

(Type an integer or decimal rounded to two decimal places as needed.)

 

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