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Problem 6. 1. If X N(9; 4), nd Pr(jX ? 2j < 4). 2. If X...

Problem 6.
1. If X N(9; 4), nd Pr(jX ? 2j < 4).
2. If X N(0; 1), nd Pr(jX + 3j > 5).
3. If X N(?2; 9), nd the number c such that Pr(jX + 2j < c) = 0:5.

Expert Solution

1] If X N(9; 4), find

=

= 0.06680720 - 0.000000000189

= 0.06680718

2. If X N(0; 1), find

= 1 - [ 0.977250 - 0.000000006 ]

= 0.02275

3. If X N(-2; 9), find the number c such that = 0.5

= 0.5

Where Z is Standard normal variate

= 0.5

= 0.75

c/3 = 0.67449

c = 2.023469

milcah answered 7 months ago

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