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Get Full Access to Probability And Statistical Inference - 9 Edition - Chapter 3.3 - Problem 2e
Get Full Access to Probability And Statistical Inference - 9 Edition - Chapter 3.3 - Problem 2e

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# If Z is N(0, 1), find

ISBN: 9780321923271 41

## Solution for problem 2E Chapter 3.3

Probability and Statistical Inference | 9th Edition

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Problem 2E

If $$Z$$ is $$N(0,1)$$, find

(a) $$P(0 \leq Z \leq 0.87)$$.

(b) $$P(-2.64 \leq Z \leq 0)$$.

(c) $$P(-2.13 \leq Z \leq-0.56)$$.

(d) $$P(|Z|>1.39)$$.

(e) $$P(Z<-1.62)$$.

(f) $$P(|Z|>1)$$.

(g) $$P(|Z|>2)$$.

(h) $$P(|Z|>3)$$.

Equation Transcription:

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Text Transcription:

Z

N(0,1)

P(0 < or = Z < or = 0.87)

P(−2.64 < or = Z < or = 0)

P(−2.13 < or = Z < or =−0.56)

P(|Z|>1.39) . P(Z<−1.62).

P(|Z|>1)

P(|Z|>2)

P(|Z|>3)

Step-by-Step Solution:

Solution :

Step 1 of 3:

If Z is the standard normal distribution  N(0,1). We have to find the probabilities.

1. P(0<Z0.87)
2. P(-2.64Z<0)
3. P()
4. P(|Z|>1.39)
5. P(Z <-1.62)
6. P(|Z|>1)
7. P(|Z|>2)
8. P((|Z|>3).

Step 2 of 3

Step 3 of 3

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