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Question

https://www.mathxl.com/Student/PlayerTest.aspx?testResultid-663332364&backs;/Student/Results.aspx%3 MAT 2342-001 Intro to Prob and Stat Fall 2017- Langford Review Test: Exam 3 Score: 0 of 1 pt 13of14 7.2.47-T The mean incubation time of fertilized eggs is 22 days uppose the incubation times are approximately normally distributed with a standard deviation of 1 day (a) Determine the 10th percentile for incubation times (b) Determine the incubation times that make up the middle 97% of f fertilized eggs (a) The 10th percentile for incubation times is 21 days. Round to the nearest whole number as needed.) (b) The incubation times that make up the middle 97% of fertilized eggs are 20" to 241 days. Round to the nearest whole number as needed. Use ascending order.) Question is complete. Tap on the red indicators to see incorrect answers.

Explanation / Answer

Solution:- Given that mean = 22 , sd = 1

a) P(X < x) = 0.1
P(Z < (x - 22)/1) = 0.1
X - 22 = -1.28
x = 22-1.28
x = 20.72
x = 21

The 10th percentile for incubation times 21 days

b) P(X < x) = (1-0.97)/2=0.015
x - 22 = -2.17
x = 22 - 2.17
x = 19.83
x = 20
  
P(X < x) = 1-0.015 =0.985
x - 22 = 2.17
x = 22+2.17
x = 24.17
  

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