Question

1. Given Z follows a standard normal distribution, what is P(Z > -4)? 1.0 0 >0.9998...

1.

  1. Given Z follows a standard normal distribution, what is P(Z > -4)?

    1.0

    0

    >0.9998

    <0.0001

  2. If X follows a N(23,7) what is the P(X>46)?

    0.9995

    0.0005

    0.0001

    0.9999

Homework Answers

Answer #1

soluion

P(z >-4 ) =1 - P(z <-4 )

Using z table,
= 1 -0

= 1.0

probability =1.0

(B)Solution :

Given ,

mean = = 23

standard deviation = = 7

P(x > 46) = 1 - P(x<46 )

= 1 - P[(x -) / < (46-23) /7 ]

= 1 - P(z <3.29)

Using z table

= 1 - 0.9995

=0.0005

probability=0.0005

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