55 818
Assignments Done
97,1%
Successfully Done
In December 2017
Your physics homework can be a real challenge, and the due date can be really close — feel free to use our assistance and get the desired result.
Be sure that math assignments completed by our experts will be error-free and done according to your instructions specified in the submitted order form.
Our experts will gladly share their knowledge and help you with programming homework. Keep up with the world’s newest programming trends.

Answer on Statistics and Probability Question for Ke_091

Question #11141
The odds that X speaks the truth are 3:2 and the odds that Y speaks the truth are 5:3. In what percentage of the cases are they likely to contradict each other?
Expert's answer
The probability for X to say the truth is
pX = 3/(3+2) = 3/5
and the
probability for Y to say the truth is
pY = 5/(5+3) = 5/8

The event A
that "they contradict each other" means that
"X speaks the truth and Y
lies or X lies and Y speaks the truth"
Hence
P(A) = pX*(1-pY) +
(1-pX)*pY
= 3/5 * 3/8 + 2/5 * 5/8
= 9/40 + 10/40
=
19/40
= 0.475

Thus in 47.5% of cases X and Y contradict each
other.

Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be first!

Leave a comment

Ask Your question