The random variable Z is normally distributed with mean 0 and variance 1. Find the following probabilities,

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The random variable Z is normally distributed with mean 0 and variance 1. Find the following probabilities, correct to 3 significant figures.

a. P(1.5 < Z < 2.5)

b. P(0.046 < Z < 1.272)

c. P(1.645 < Z < 2.326)

d. P(–2.807 < Z < –1.282) 

e. P(–1.777 < Z < –0.746) 

f. P( –1.008 < Z < –0.337)

g. P(–1.2 < Z < 1.2) 

h. P(–1.667 < Z < 2.667) 

i. (-3/4 ≤ Z < 8/5)

j. P(√2 ≤ Z < 5 )

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