Assume that the random variable Z follows standard normal distribution, calculate the following probabilities (Round to two decimal places)a)P(z>1.9)b)P(−2<=z<=1.2)c)P(z>−0.2)

Efan Halliday

Efan Halliday

Answered question

2020-11-05

Suppose Z, the random variable, has a normal distribution, calculate the following probabilities (Round to two decimal places)
a)P(z>1.9)
b)P(2z1.2)
c)P(z0.2)

Answer & Explanation

ensojadasH

ensojadasH

Skilled2020-11-06Added 100 answers

Given:
Z's random variable adheres to the normal distributions
a)P(z>1.9)=1P(z1.9)
P(z>1.9)=10.9713
P(z>1.9)=0.02870.03
b)P(2z1.2)=P(z1.2)P(z2)
P(2z1.2)=0.88490.0228
P(2z1.2)=0.86210.86
c)P(z0.2)=1P(z0.2)
P(z0.2)=10.4207
P(z0.2)=0.57930.58

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