The variable X has a normal distribution with a mean of 50. What standard deviation would be necessary to ensure that 80% of the values of X are within 12 of the mean? Please show work!! I ll rate

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 28E
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The variable X has a normal distribution with a mean of 50. What standard deviation would be necessary to ensure that 80% of the values of X are within 12 of the mean? Please show work!!
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