**Question 14**In her MAT135 class, Professor Alayeb found that the mean score of the first exam was 48. Suppose that the scores are normally distributed with a standard deviation of 11 points.1. What is the probability that a randomly selected score is less than 59? (use 2 decimals) \( P(x<59) = \) [ ]2. What is the probability that a randomly selected score is more than 81? (use 2 decimals) \( P(x>81) = \) [ ]3. What is the probability that a randomly selected score is between 59 and 81? (use 2 decimals) \( P(59

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Answered: Question 14 In her MAT135 class,…

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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The distribution of scores for the final exam in Math class last year had a Normal distribution with a mean of 74 and a standard deviation of 14. A random sample of 49 exam papers is selected. What is the probability that the sample mean is lower than 77?
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Question 8 > A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 164.6-cm and a standard deviation of 2.4-cm. For shipment, 27 steel rods are bundled together. Find the probability that the average length of a randomly selected bundle of steel rods is less than 164.2-cm. P(M < 164.2-cm) =| Enter your answer as a number accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted. Question Help: DPost to forum Submit Question tv
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A recent study was conducted and it found that IQ's are normally distributed with a mean of a 100 and a standard deviation of 15. 1. What is the probability that a randomly selected individual would have an IQ between 97 and 112 2. What is the probability that a randomly selected individual would have an IQ between 100 and 113 3. What is the probability that a randomly selected individual would have an IQ of less than 112 and greater than 115
Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0 degrees * C and a standard deviation of 1.00 degrees * C . A single thermometer is randomly selected and tested. Find the probability of obtaining a reading less than - 1.388 degrees * C . If this can be done on the calculator, please explain.
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