Question

In: Statistics and Probability

Find the probabilities associated with the standard normal distribution (Draw the area being found in each...

Find the probabilities associated with the standard normal distribution (Draw the area being found in each part)

a. Pz≥.23=                                   

b. Pz≤-2.36=                              

c. P-3.25≤z≤1=

Solutions

Expert Solution

a.

Obtaining probability from normality distribution table

P[z ≥ 0.23 ] =  

P[z ≥ 0.23 ] = 0.409

b.

P[ z ≤ - 2.36 ]= 1 - P[ z ≥   - 2.36 ]

Obtaining probability from normality distribution tabel

P[ z ≤ - 2.36 ]= 1 - P[ z ≥   - 2.36 ]

= 1 - 0.0091

= 0.9909

c.

P[-3.25 ≤ z ≤ 1] = 1- P[ z  ≥   - 3.25  ] -  P[ z 1  ]

P[-3.25 ≤ z ≤ 1] = 1- P[  - 3.25 ≥   z ] -  P[ 1   z]

= 1 - 0.0006 - 0.1587

= 0.8407


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