Question

x~lognormal(10,9),compute Pr(3.5<=x<=10).

Answer 1

You have to use the table for lognormal distribution.

Answer 2

we have to use the normal table only

Answer 3

Find
Probability [ ln(3.5) < Z < ln(10]=Probability [ 1.25276 < Z <2.30259]
Where Z =N[3.5,10]

Answer 4

Or find
\[
P\left[\frac{1}{9} (\ln (3.5)-10)<Z<\frac{1}{9} (\ln
(10)-10)\right]\\
=P[-0.971915<Z<-0.855268]
\]


Where Z=N[0,1]

Answer 5

P[-0.971915<Z<-0.855268]=0.0306549

Answer 6

thank you elias,i think there instead 9 is 3

Answer 7

Sorry,
The answer is now
0.00337264

Answer 8

P(-2.91575<Z<-2.5658)=0.00337264