A certain standardized test's math scores have a bell-shaped distribution with a mean of 520 and a standard deviation of 119. Complete parts (a) through (c).99.7% of data are within3 standard deviations ofthe mean (u - 3ơ to µ + 30)95% within·2 standard deviationsm-68% within1 standarddeviation34%34%0.15%2.35%2.35%0.15%13.5%13.5%u- 3020u+ 20u+ 30(a) What percentage of standardized test scores is between 401 and 639?|% (Round to the nearest tenth as needed.)(b) What percentage of standardized test scores is less than 401 or greater than 639?% (Round to the nearest tenth as needed.)(c) What percentage of standardized test scores is greater than 758?% (Round to the nearest tenth as needed.)

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

A certain standardized test's math scores have a bell-shaped distribution with a mean of 520 and a standard deviation of 119. Complete parts (a) through (c). 99,7% of data are within 3 standard deviations of the mean μ- 30to μ τ 30) 95% within- 2 standard deviations m-68% within 1 standard deviation 34% 34% 0.15% 2.35% 2.35% 0.15% 13.5% 13.5% -30 u- 20 u+ 20 u+ 30 (a) What percentage of standardized test scores is between 401 and 639? | % (Round to the nearest tenth as needed.) (b) What percentage of standardized test scores is less than 401 or greater than 639? % (Round to the nearest tenth as needed.) (c) What percentage of standardized test scores is greater than 758? % (Round to the nearest tenth as needed.)

A certain standardized test's math scores have a bell-shaped distribution with a mean of 520 and a standard deviation of 119. Complete parts (a) through (c). 99,7% of data are within 3 standard deviations of the mean μ- 30to μ τ 30) 95% within- 2 standard deviations m-68% within 1 standard deviation 34% 34% 0.15% 2.35% 2.35% 0.15% 13.5% 13.5% -30 u- 20 u+ 20 u+ 30 (a) What percentage of standardized test scores is between 401 and 639? | % (Round to the nearest tenth as needed.) (b) What percentage of standardized test scores is less than 401 or greater than 639? % (Round to the nearest tenth as needed.) (c) What percentage of standardized test scores is greater than 758? % (Round to the nearest tenth as needed.)

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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Concept explainers

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!

Question

100%

A certain standardized test's math scores have a bell-shaped distribution with a mean of 520 and a standard deviation of 119. Complete parts (a) through (c).
99.7% of data are within
3 standard deviations of
the mean (u - 3ơ to µ + 30)
95% within·
2 standard deviations
m-68% within
1 standard
deviation
34%
34%
0.15%
2.35%
2.35%
0.15%
13.5%
13.5%
u- 30
20
u+ 20
u+ 30
(a) What percentage of standardized test scores is between 401 and 639?
|% (Round to the nearest tenth as needed.)
(b) What percentage of standardized test scores is less than 401 or greater than 639?
% (Round to the nearest tenth as needed.)
(c) What percentage of standardized test scores is greater than 758?
% (Round to the nearest tenth as needed.)

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