(b)For a certain type of computers, the length of time betweencharges of the battery is normally distributed with a mean of 45hours and a standard deviation of 12 hours.Find the probability that the length of time:i.will be less than 25.i.will be more than 37.ii.will be between 48 and 62 hours.

X: length of time between charges of the batteryX~N(μ,σ)where mean(μ)=45 hours and standard…

Answered: (b) For a certain type of computers,…

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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A student in PSYC 227 class collects data for a class project. She asks 10 classmates to shoot 10 free throws on a standard basketball court and records the number of shots made by each participant (X). She also has these same participants run an obstacle course and records their time (Y). She wants to statistically evaluate if variables X and Y are related. She computes the sum of squared deviations for X, the sum of squared deviations for Y, and the sum of cross products between X and Y. SUM Pearson's correlation between variables X and Y is: O3.205 O-.698 O-.015 -. 309 (x-x)² 3.24 7.84 1.44 10.24 0.04 0.64 3.24 1.44 0.04 0.64 28.8 (Y-Y)² 15.21 0.81 16.81 4.41 9.61 8.41 15.21 0.01 4.41 3.61 78.5 (X-X) (Y-Y) -7.02 -2.52 -4.92 -6.72 -0.62 -2.32 -7.02 -0.12 -0.42 -1.52 - 33.2
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Mason earned a score of 226 on Exam A that had a mean of 250 and a standard deviation of 40. He is about to take Exam B that has a mean of 550 and a standard deviation of 25. How well must Mason score on Exam B in order to do equivalently well as he did on Exam A? Assume that scores on each exam are normally distributed.
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Assume that females have pulse rates that are normally distributed with a mean of u = 76.0 beats per minute a. If 1 adult female is randomly selected, find the probability that her pulse rate is between 69 beats per min The probability is (Round to four decimal places as needed.) b. If 25 adult females are randomly selected, find the probability that they have pulse rates with a mean bet The probability is (Round to four decimal places as needed.) c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30? O A. Since the distribution is of sample means, not individuals, the distribution is a normal distribution fo OB. Since the distribution is of individuals, not sample means, the distribution is a normal distribution fo OC. Since the mean pulse rate exceeds 30, the distribution of sample means is a normal distribution fo O D. Since the original population has a normal distribution, the distribution of sample means is a norma
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