Solution Found!
If X ~ N(2, 9), computea. P(X ? 2)________________b. P(l ?
Chapter 4, Problem 4E(choose chapter or problem)
If X ∼ N (2, 9), compute
a. \(P(X \geq 2)\)
b. \(P(1 \leq X<7)\)
c. \(P(-2.5 \leq X<-1)\)
d. \(P(-3 \leq X-2<3)\)
Equation transcription:
Text transcription:
P(X \geq 2)
P(1 \leq X<7)
P(-2.5 \leq X<-1)
P(-3 \leq X-2<3)
Questions & Answers
QUESTION:
If X ∼ N (2, 9), compute
a. \(P(X \geq 2)\)
b. \(P(1 \leq X<7)\)
c. \(P(-2.5 \leq X<-1)\)
d. \(P(-3 \leq X-2<3)\)
Equation transcription:
Text transcription:
P(X \geq 2)
P(1 \leq X<7)
P(-2.5 \leq X<-1)
P(-3 \leq X-2<3)
ANSWER:Solution :
Step 1 of 4:
Here .
Here mean and
Variance
Then, standard deviation
Therefore standard deviation .
Our goal is:
a). We need to find .
b). We need to find .
c). We need to find .
d). We need to find .
a).
Now we have to compute the .
The formula of the z is
z=
We know that mean 2 and standard deviation
3.
Then,
= 1-
Using area under the normal curve table.
=0.5000.
= 1- 0.5000
= 0.5000
Therefore is 0.5000.