Question

P( | x | ? x1 | ND: ? = 200, ? = 10) = .40...

P( | x | ? x1 | ND: ? = 200, ? = 10) = .40

What is x1?

2.5

5.2

6.5

8.4

12.8
Math   Statistics-And-Probability   
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Homework Answers

Answer #1

Given P( | x | ? x1 | ND: ? = 200, ? = 10) = .40

1 - P( | x | ? x1 | ND: ? = 200, ? = 10) = 1 -0.40

P( | x | < x1 | ND: ? = 200, ? = 10) = 0.60

P(-x1 < X< x1 | ND: ? = 200, ? = 10) 0.60

P( (-x1 -200)/10 < Z <  (x1 -200)/10 ) = 0.60

As per standard normal table, P(-0.8416 <Z< 0.8416) = 0.60

Therefore, (x1 -200)/10 = 0.8416

x1 - 200 = 8.416

x1 = 208.416

similiary (-x1 -200)/10 = -0.8416

-x1 - 200 = -8.416

-x1 = 191.584

Correct answer: Option (D) 8.4

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