Let X be normally distributed with mean = 120 and standard deviation a=20. [You may find it useful to reference the a. Find PIX ≤ 86). (Round your final answer to 4 decimal places.) PIX s 86) 0.0446 b. Find P80 sX s100). (Round your final answer to 4 decimal places.) P(80 sxs 100) 0.1359 c. Find x such that PXsx)-0.40. (Round your final answer to 2 decimal places.) d. Find x such that PX>x)-0.90. (Round your final answer to 2 decimal places.)

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 53E
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Let X be normally distributed with mean = 120 and standard deviation a= 20. [You may find it useful to reference the
a. Find PIX ≤ 86). (Round your final answer to 4 decimal places.)
PIX ≤ 86)
0.0446
b. Find P80 sX s100). (Round your final answer to 4 decimal places.)
P(80 sxs 100)
0.1359
c. Find x such that PX sx)=0.40. (Round your final answer to 2 decimal places.)
d. Find x such that PX>x)=0.90. (Round your final answer to 2 decimal places.)
Transcribed Image Text:Let X be normally distributed with mean = 120 and standard deviation a= 20. [You may find it useful to reference the a. Find PIX ≤ 86). (Round your final answer to 4 decimal places.) PIX ≤ 86) 0.0446 b. Find P80 sX s100). (Round your final answer to 4 decimal places.) P(80 sxs 100) 0.1359 c. Find x such that PX sx)=0.40. (Round your final answer to 2 decimal places.) d. Find x such that PX>x)=0.90. (Round your final answer to 2 decimal places.)
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