Try the fastest way to create flashcards
Question

If X is normal with mean 12 and standard deviation 2 , find $P(10.

Solution

Verified
Step 1
1 of 6

We are given the normal random variable $X$ whose mean has value $\mu=12$ and standard deviation has value $\sigma=2$. Goal is to calculate the probability $P(10. Let's try to standardize this probability. For any normal random variable with mean $\mu$ and standard deviation $\sigma$, the following equality is true:

\begin{aligned} % % Remove numbering (before each equation) P(c_1

Since we have values for mean and standard deviation, we get that:

\begin{aligned} % % Remove numbering (before each equation) \textcolor{#c34632}{P(10

Recommended textbook solutions

Thomas' Calculus

14th EditionISBN: 9780134438986 (11 more)Christopher E Heil, Joel R. Hass, Maurice D. Weir
10,142 solutions

Applied Calculus

6th EditionISBN: 9781285225517Andrew M. Rockett, Geoffrey C. Berresford
4,565 solutions

Calculus: Early Transcendentals

8th EditionISBN: 9781285741550 (6 more)James Stewart
11,084 solutions

Calculus: Early Transcendentals

9th EditionISBN: 9781337613927 (1 more)Daniel K. Clegg, James Stewart, Saleem Watson
11,050 solutions