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

Obtaining probability from normality distribution table

P[z ≥ 0.23 ] =

P[z ≥ 0.23 ] = 0.409

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

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

orchestra answered 1 year ago

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