The times of all 15 year olds who run a certain race are approximately normally distributed with a given mean Mu = 18 sec and standard deviation Sigma = 1. 2 sec. What percentage of the runners have times less than 14. 4 sec?.

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Question

The times of all 15 year old who run a certain race are approximately normally distributed with a given mean Mu = 18 sec and standard deviation Sigma = 1. 2 sec. What percentage of the runners have times less than 14. 4 sec?.

Answer:  

A.  0.15%  

Step-by-step explanation:  

The times of all 15 year old who run a certain race are approximately normally distributed with a given mean as 18 sec and standard deviation as 1.2 sec.  

We know that,  

where,  

X = raw score = 14.4  

μ = mean = 18  

σ = standard deviation = 1.2  

Putting the values,  

Finding the the probability from z score table, we get  

Answer:

a

Step-by-step explanation:

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