If Z is N(0, 1), find values of c such that

Chapter 3, Problem 3E

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QUESTION:

If \(Z\) is \(N(0,1)\), find values of \(c\) such that

(a) \(P(Z \geq c)=0.025\).

(b) \(P(|Z| \leq c)=0.95\).

(c) \(P(Z>c)=0.05\).

(d) \(P(|Z| \leq c)=0.90\).

Equation Transcription:





Text Transcription:

Z

N(0,1)  

c  

P(Z > or  = c)=0.025  

P(|Z| < or  =c)=0.95  

P(Z>c)=0.05  

P(|Z| < or  = c)=0.90

Questions & Answers

QUESTION:

If \(Z\) is \(N(0,1)\), find values of \(c\) such that

(a) \(P(Z \geq c)=0.025\).

(b) \(P(|Z| \leq c)=0.95\).

(c) \(P(Z>c)=0.05\).

(d) \(P(|Z| \leq c)=0.90\).

Equation Transcription:





Text Transcription:

Z

N(0,1)  

c  

P(Z > or  = c)=0.025  

P(|Z| < or  =c)=0.95  

P(Z>c)=0.05  

P(|Z| < or  = c)=0.90

ANSWER:

Solution :

Step 1 of 3:

If Z is N(0,1), we have to find the values of C when.

  1. P(Z = 0.025
  2.  P(|Z| C)   = 0.95
  3. P(Z> C)     = 0.05
  4. P(|Z| )  =  0.90


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