We appreciate your visit to Given a normal distribution with tex mu 50 tex and tex sigma 5 tex if you select a sample of tex n 100 tex what. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Final answer:
Using z-score, we can compute the probability that X is less than 47, between 47 and 49.5, above 51.1 and calculate the value that is above 35% chance.
Explanation:
To answer this question, we will use the concept of z-scores in statistics, which represents how many standard deviations away a given data point lies from the mean value.
a. less than 47: Here, Z = (47 - μ) / (σ / √n) = (47 - 50) / (5 / √100) = -0.6. So the required probability P(X < 47) = P(Z < -0.6) which can be obtained from z-table.
b. between 47 and 49.5:We need to compute the Z scores separately: Z1 = (47 - μ) / (σ / √n) = -0.6 and Z2 = (49.5 - μ) / (σ / √n) = -0.1. Therefore, P(47
c. above 51.1: Here, Z = (51.1 - μ) / (σ / √n) = 0.22. So the required probability P(X > 51.1) = P(Z > 0.22) = 1 - P(Z < 0.22) as we subtract from total area under curve which is 1.
d. There is a 35% chance that is above what value: Here we're looking for a Z score such that P(Z > z) = 0.35. Once the z score is found from z-table, we use the formula X = μ + Z * (σ / √n) to calculate the corresponding value of X.
Learn more about z-score here:
https://brainly.com/question/15016913
#SPJ11
Thanks for taking the time to read Given a normal distribution with tex mu 50 tex and tex sigma 5 tex if you select a sample of tex n 100 tex what. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
