In: Statistics and Probability
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=
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