5) The following cumulative relative frequency graph describes the distribution of scoreson a recent test for a large introductory statistics class of 67 students.Cumulative relativefrequency (%)10090807060504030201000 10 20 30 40 50 60 70 80 90 100Test ScoreWhich of the following are correct?1. The 30th percentile is a test score of about 80.II. About 10% of the students scored above a 40.III. The IQR is about 23. PRACTICE HOMEWORKShow all of your work below1) At a spark plug factory, the machine that sets the gap follows a normaldistribution with a mean of 4.1 mm and a standard deviation of 0.075 mm. Whichvalue below would represent the 40th percentile of gap distances?2) Fitbit data is recorded for the number of steps a group of teachers takes eachschool day with a mean of 10,321 and a standard deviation of 1,075.2. Calculatethe z-score for a teacher who took 10,250 steps and interpret the value.3) Scores on this year's statistics midterm were approximately normally distributedwith a mean of 77.6 and a standard deviation of 3.4.a) What percentage of scores are between scores 70.8 and 77.6?b) What percentage of scores are between scores 74.2 and 81?c) What percentage of scores are between scores 67.4 and 84.4?d) What percentage of scores is less than a score of 74.2?e) What percentage of scores is greater than a score of 81?4) What is the z-score for a probability of .7054?.

It is given that Mean, μ = 4.1 mm Standard deviation, σ = 0.075 mm Note: According to Bartleby…

Answered: 1) At a spark plug factory, the machine…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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1) At a spark plug factory, the machine that sets the gap follows a normal distribution with a mean of 4.1 mm and a standard deviation of 0.075 mm. Which value below would represent the 40th percentile of gap distances?