Suppose that the amount of time that students spend studying in the library in one sitting is normally distributed with mean 45 minutes and standard deviation 20 minutes. A researcher observed 50 students who entered the library to study. Round all answers to 4 decimal places where possible. Suppose that the amount of time that students spend studying in the library in one sitting is normallydistributed with mean 45 minutes and standard deviation 20 minutes. A researcher observed 50 studentswho entered the library to study. Round all answers to 4 decimal places where possible.a. What is the distribution of X? X - N(b. What is the distribution of I? ã - N(c. What is the distribution of > x? )d. If one randomly selected student is timed, find the probability that this student's time will bebetween 44 and 46 minutes.e. For the 50 students, find the probability that their average time studying is between 44 and 46minutes.f. Find the probability that the randomly selected 50 students will have a total study time more than2400 minutes.g. For part e) and f), is the assumption of normal necessary? O NoO Yesh. The top 20% of the total study time for groups of 50 students will be given a sticker that says "Greatdedication". What is the least total time that a group can study and still receive a sticker?minutes

Answered: Suppose that the amount of time that…

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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Suppose that the amount of time that students spend studying in the library in one sitting is normally distributed with mean 45 minutes and standard deviation 20 minutes. A researcher observed 50 students who entered the library to study. Round all answers to 4 decimal places where possible.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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The normal distribution is the most useful theoretical distribution for continuous variables. For the normal distribution,

$m e a n = μ, S . D = σ$ , symbolically we write,

$X ~ N (μ, σ)$ .

The normal curve is always bell-shaped curve.

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