At Westonci.ca, we make it easy for you to get the answers you need from a community of knowledgeable individuals. Discover reliable solutions to your questions from a wide network of experts on our comprehensive Q&A platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.
Sagot :
The percentage of runners having times less than 14.4 sec is 0.15%. Then the correct option is A.
What is normal a distribution?
It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.
The times of all 15-year-olds who run a certain race are approximately normally distributed with a given mean (μ) = 18 sec and standard deviation (σ) = 1.2 sec.
The runners have times less than 14.4 sec.
The z-score is a numerical measurement used in statistics of the value's relationship to the mean of a group of values, measured in terms of standards from the mean.
[tex]\rm z-score = \dfrac{X - \mu}{\sigma }\\\\z-score = \dfrac{14.4- 18}{1.2}\\\\z-score = -3[/tex]
Then the Percentage will be
[tex]\rm P(X < 14.4) = P(z < -3) = 0.0013499 = 0.13499\ \% \approx 0.15\ \%[/tex]
More about the normal distribution link is given below.
https://brainly.com/question/12421652
Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.
