Question

If E and F are independent events, find P(F) if P(E) = 0.4 and = 0.7.

Answer 1

your missing a part of the question i think

Answer 2

i'm trying to find p(f) when p(e) = 0.4 and P (E u F) = 0.7

Answer 3

use

\[P(E\cup F)=P(E)+P(F)-P(E\cap F)\]

along with independence

Answer 4

i don't know how to do that

Answer 5

one more hint..

\[.7=P(E)+P(F)-P(E)\cdot P(F)\]

Answer 6

if p(e) and p(f) are independant; doesnt that mean that p(e n f) = 0?

Answer 7

no

Answer 8

venn diagram would be (E) (F) and they never the twain shall mix ?

Answer 9

E and F are independent if and only if

\[P(E\cap F)=P(E)\cdot P(F)\]

Answer 10

you are mixing up independent and mutually exclusive

Answer 11

so how would i set this up?

Answer 12

look at what I have written above

Answer 13

we have

\[.7=P(E)+P(F)-P(E)\cdot P(F)\]

and we know that \[P(E)=.4\]

replace and solve for \[P(F)\]

Answer 14

\[.7=P(E)+P(F)-P(E)\cdot P(F)\]
\[.7=.4+P(F)-.4\cdot P(F)\]
\[.3=P(F)-.4\cdot P(F)\]
\[.3=P(F)(1-.4)\]
\[.3=P(F)\cdot.6\]

\[\frac{.3}{.6}=P(F)\]

\[P(F)=.5\]

Answer 15

i just did this all on my paper!!!!glad i saw i solved correctly!! thank you so much!!!!

Answer 16

np