Problem: In a large introductory statistics class, the score X of a randomlyselected student on a test worth 50 points can be modeled by a Normaldistribution with mean 35 and standarddeviation 5. Due to a difficult question on thetest, the professor decides to add 5 points toeach student's score. Let Y be the scaled testscore of the randomly selected student.Describe the shape, center, and variabilityof the probability distribution of Y.193

Let X be the random variable that scores a student on a test worth 50 points. Given that, X~N(μ=35,…

Answered: Describe the shape, center, and…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Mara Jade is analyzing the fire damage losses in her insurance firm that occurred over a one-year period, based on the following data: Number of Claims Filed Number of Houses Total Number of Claims 0 9,555 0 1 160 160 2 20 40 Fill in the table and calculate the average frequency of loss. Use the information in the table to estimate a probability distribution for the frequency distribution of losses.
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In Alpha College, students are required to join at least one school club to get extra-curriculum activities’ marks.Suppose the following table represents the probability distribution function of the number of clubs (?) astudent join: ? 1 2 3 4 ?(? = ?) 0.1 2? ? + 0.1 ? (a) Find the value of ?.(b) What is the probability that a student joins at most two clubs?(c) Find ?(?), ???(?) and ?(?).(d) Suppose the membership fee is $100 per club, with the first enrolled club is free of charge. Let ? bethe total membership fee a student pay. Compute ?(?) and ?(?).(e) What percentage of students are paying not less than $200 for the total membership fee?(f) Write a simple paragraph (about 30 -50 words) to summarize the total membership fee a student payingfor joining school club(s) (based on the results in parts (d) and (e)).
The normal distribution curve can be used as a probability distribution curve for normally distributed variables. Group of answer choices False True

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Describe the shape, center, and variability of the probability distribution of Y.