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den301095 [7]
3 years ago
15

The speeds of vehicles on a highway with speed limit 100 km/h are normally distributed with mean 111 km/h and standard deviation

6 km/h. (Round your answers to two decimal places.) (a) What is the probability that a randomly chosen vehicle is traveling at a legal speed?
Mathematics
1 answer:
Vsevolod [243]3 years ago
5 0

Answer:

Liberation Theology  

Step-by-step explanation:

Liberation Theology :

A religious movement particularly among Roman Catholic ministry in Latin America that joins political theory normally of a Marxist direction with a religious philosophy of salvation as freedom from shamefulness

Liberation theology philosophy looks to decipher the activities of the Catholic Church and the lessons of Jesus Christ from the point of view of poor people and burdened.

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Answer: (13.22\%,\ 19.34\%)

Step-by-step explanation:

Given : Sample space : n= 559

Sample proportion : \hat{p}=\dfrac{91}{559}=0.162790697674\approx0.1628

=16.28\%

Significance level : \alpha= 1-0.95=0.05

Critical value : z_{\alpha/2}=1.96

Confidence level for population proportion:-

\hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}\\\\=0.1628\pm (1.96)\sqrt{\dfrac{0.1628(1-0.1628)}{559}}\\\\=0.1628\pm0.030604971367\\\\\approx 0.1628\pm0.0306=(0.1322,\ 0.1934)=(13.22\%,\ 19.34\%)

Hence, 95% confidence interval for the percentage of all auto accidents that involve teenage drivers.= (13.22\%,\ 19.34\%)

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