How do you find the probability of P(−1.96<z<1.96) using the standard normal distribution?

pliwraih

pliwraih

Answered question

2022-07-23

How do you find the probability of P ( - 1.96 < z < 1.96 ) using the standard normal distribution?

Answer & Explanation

Brenton Gay

Brenton Gay

Beginner2022-07-24Added 13 answers

Given: P ( - 1.96 < z < 1.96 ) , normal distribution
z-tables have z-scores listed and their corresponding probabilities. The probability is the area under the curve from 0 to the probability value. The area under the full curve is
From the z-tables:
P ( Z < 1.96 ) = .9750
P ( Z < - 1.96 ) = 0.0250
To find the probability or area between two values you need to subtract the two values:
P ( - 1.96 < z < 1.96 ) = P ( z < 1.96 ) - P ( z < - 1.96 )
= .9750 - .0250 = .95 = 95 %

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