Try Magic Notes and save time.Try it free
Try Magic Notes and save timeCrush your year with the magic of personalized studying.Try it free
Question

# Find the probability $P(1 \leq Z \leq 2)$ for a standard normal random variable Z.

Solution

Verified
Step 1
1 of 4

We are given the standard normal random variable $Z$. Goal is to calculate the probability $P(1\leq Z\leq2)$. It is not hard to deduce that this probability is equal to the sum of following probabilities:

$P(1\leq Z\leq2)=P(0\leq Z\leq2)-P(0\leq Z\leq1)$

## Recommended textbook solutions #### Thomas' Calculus

14th EditionISBN: 9780134438986 (11 more)Christopher E Heil, Joel R. Hass, Maurice D. Weir
10,144 solutions #### Applied Calculus

6th EditionISBN: 9781285225517 (8 more)Andrew M. Rockett, Geoffrey C. Berresford
4,565 solutions #### Calculus: Early Transcendentals

8th EditionISBN: 9781285741550 (3 more)James Stewart
11,084 solutions #### Calculus: Early Transcendentals

9th EditionISBN: 9781337613927 (3 more)Daniel K. Clegg, James Stewart, Saleem Watson
11,049 solutions