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4. Compute each probability or quantile 1 (а) X~ N(3, 0.0225), P(X < 3.25). (b) X~ N(52, 49), Р(X > 60). (с) X~ N(3.7, 4.55),

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Answer #1

Here to calculate probability and quantiles we require standard normal probability table,

Hence,

Using standard normal probability table

a. P(X<=3.25)=0.9522

b.P(X=>60)=0.1266

c.P(3.0<=X<=10.0)=0.9984-0.3714=0.62701

d. Q1=25+(-0.6745*6)=20.953

Q3=25+(0.6745*6)=29.047

Thank you.

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