Homework Help is Here – Start Your Trial Now!
Math
Probability
(a) If you have a score of 167, then you did better than how many percent of the people taking the test with you? (b) How high would your score have to be so that you are in the top 90%?

(a) If you have a score of 167, then you did better than how many percent of the people taking the test with you? (b) How high would your score have to be so that you are in the top 90%?

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 6CR
See similar textbooks
icon
Related questions
Question

please answer 

e Preview Probabilities for General Normal Random Variables Probabilities for Normal random variables with any mean μ and variance σ² can be computed by comparing them to standard normal distributions. This process is referred to as STANDARDIZING the random variable. PROPOSITION: Let X be a Normal random variable with mean μ and standard deviation σ. Then Z = X-p σ ~ Normal(0, 1) μ • (a - μ ≤ X - H≤ b - H) σ σ σ Thus P(a≤ X ≤b) = P P(X ≤ a) = ( a − = (-1), P(X ≥ b) = 1-$ * ( "-") σ Φ = (b −4) - (a-") => a- σ "), Φ σ Example: LSAT scores have approximately a Normal distribution with mean μ = 150 and standard deviation σ = 10. (a) If you have a score of 167, then you did better than how many percent of the people taking the test with you? (b) How high would your score have to be so that you are in the top 90%?
Transcribed Image Text:e Preview Probabilities for General Normal Random Variables Probabilities for Normal random variables with any mean μ and variance σ² can be computed by comparing them to standard normal distributions. This process is referred to as STANDARDIZING the random variable. PROPOSITION: Let X be a Normal random variable with mean μ and standard deviation σ. Then Z = X-p σ ~ Normal(0, 1) μ • (a - μ ≤ X - H≤ b - H) σ σ σ Thus P(a≤ X ≤b) = P P(X ≤ a) = ( a − = (-1), P(X ≥ b) = 1-$ * ( "-") σ Φ = (b −4) - (a-") => a- σ "), Φ σ Example: LSAT scores have approximately a Normal distribution with mean μ = 150 and standard deviation σ = 10. (a) If you have a score of 167, then you did better than how many percent of the people taking the test with you? (b) How high would your score have to be so that you are in the top 90%?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 7 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
SEE MORE TEXTBOOKS