Math  /  Data & Statistics

QuestionA variable is normally distributed with mean 20 and standard deviation 3 . Use your graphing calculator to find each of the following areas. Write your answers in decimal form. Round to the nearest thousandth as needed. a) Find the area to the left of 20. \square b) Find the area to the left of 16. \square c) Find the area to the right of 17. \square d) Find the area to the right of 26 . \square e) Find the area between 16 and 29. \square

Studdy Solution
e) To find the area between 16 and 29, use the normal distribution function on your calculator with μ=20\mu = 20 and σ=3\sigma = 3.
- Enter the normalcdf function: normalcdf(16,29,20,3)\text{normalcdf}(16, 29, 20, 3).
- The area between 16 and 29 is approximately 0.9770.977.
The solutions are: a) 0.500\boxed{0.500} b) 0.091\boxed{0.091} c) 0.841\boxed{0.841} d) 0.022\boxed{0.022} e) 0.977\boxed{0.977}

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