Question

Given a normal distribution with μ=100 and σ=8​, and given you select a sample of n...

Given a normal distribution with μ=100 and σ=8​, and given you select a sample of n equals=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 97.5?

​P(95<X<97.5)

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

c. What is the probability that X is above 100.2?

​P(X>100.2​)

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

d. There is a 62​% chance that X is above what value?

X=

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

Enter your answer in each of the answer boxes.

Homework Answers

Answer #1

Note-if there is any understanding problem regarding this please feel free to ask via comment box..thank you

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Given a normal distribution with muμequals=105 and sigmaσequals=20, and given you select a sample of n...
Given a normal distribution with muμequals=105 and sigmaσequals=20, and given you select a sample of n equals 16n=16​, complete parts​ (a) through​ (d).Click here to view page 1 of the cumulative standardized normal distribution table. LOADING... Click here to view page 2 of the cumulative standardized normal distribution table. LOADING... a. What is the probability that Upper X overbarX is less than 9292​? ​P(Upper X overbarXless than<9292​)equals=. 0047.0047 ​(Type an integer or decimal rounded to four decimal places as​ needed.)...
Given a normal distribution with μ=50 and σ=5​, and given you select a sample of n=100​,...
Given a normal distribution with μ=50 and σ=5​, 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​)= b. What is the probability that X is between 49 and 51.5​? ​P(49<X<51.5​)= c. What is the probability that X is above 50.9​? ​P(X>50.9​)= d. There is a 30​% chance that X is above what​ value? X=
Given a normal distribution with μ =100 and σ =8​, and given you select a sample...
Given a normal distribution with μ =100 and σ =8​, and given you select a sample of n=16​, complete parts​ (a) through​ (d). a. What is the probability that Upper X overbar is less than 95​?
Given a normal distribution with μ=100 and σ=10, complete parts​ (a) through​ (d). a. What is...
Given a normal distribution with μ=100 and σ=10, complete parts​ (a) through​ (d). a. What is the probability that X>80​? ​(Round to four decimal places as​ needed.) b. What is the probability that X<95​? ​(Round to four decimal places as​ needed.) c. What is the probability that X<75 or X>110​? ​(Round to four decimal places as​ needed.) d. 80​% of the values are between what two​ X-values (symmetrically distributed around the​ mean)? ​(Round to two decimal places as​ needed.)
Given a normal distribution with μ=53 and σ=3​. a. What is the probability that X>49​? ​P(X>49​)=_____...
Given a normal distribution with μ=53 and σ=3​. a. What is the probability that X>49​? ​P(X>49​)=_____ (Round to four decimal places as​ needed.) b. What is the probability thatX<47​? ​P(X<47​)equals=_____ ​(Round to four decimal places as​ needed.) c. For this​ distribution, 7​% of the values are less than what​ X-value? X=_____ ​(Round to the nearest integer as​ needed.) d. Between what two​ X-values (symmetrically distributed around the​ mean) are 80​% of the​ values? For this​ distribution, 80​% of the values...
Given a normal distribution with μ= 101 and σ = 20​, and given you select a...
Given a normal distribution with μ= 101 and σ = 20​, and given you select a sample of equals =16 What is the probability that X is above 102.6? P (X > 102.6) =
Given a normal distribution with μ  = 101 and σ = 15​, and given you select a...
Given a normal distribution with μ  = 101 and σ = 15​, and given you select a sample of n=9​, complete parts​ (a) through​ (d). What is the probability that Upper X overbar is less than 95?
Given a normal distribution with μ = 103 σ= 25 you select a sample of n...
Given a normal distribution with μ = 103 σ= 25 you select a sample of n = 25. What is the probability that X overbar is greater than 104? P(Xoverbar>104) =
Given a normal distribution with muequals103 and sigmaequals25​, and given you select a sample of n...
Given a normal distribution with muequals103 and sigmaequals25​, and given you select a sample of n equals 25​, complete parts​ (a) through​ (d). d. There is a 63​% chance that Upper X overbar is above what​ value?
For a normal distribution where μ= 100 and σ= 10, What is the probability of: a....
For a normal distribution where μ= 100 and σ= 10, What is the probability of: a. P(X>80) b. P(95<X<105) c. P(X<50) d. P(X>100) e. P(X<90 y X>110) f. P(X>135)