anonymous
  • anonymous
The probability of a randomly selected employee of a company being male is 60%. The probability of the employee being less than 30 years old is 70%. If the probability of the employee being less than 30 years old given that the employee is a male is 40%, what is the probability that the employee is a male, given that the employee is less than 30 years old? 0.34 0.42 0.55 0.69 0.71
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
@kropot72
ybarrap
  • ybarrap
We want $$ P(M|Y) $$ Where Y is the event, employee is less than 30 years old. How can we rewrite this in terms of the information given? What is \(P(M)\)? What is \(P(Y)\)? What is \(P(Y|M)\)? Rewriting the 1st probability in terms of the three immediately above will give you your answer. Does this make sense?
anonymous
  • anonymous
heck no sorry

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

ybarrap
  • ybarrap
What does conditional probability mean to you?
anonymous
  • anonymous
event given that another event has occurred
ybarrap
  • ybarrap
So $$ P(M|Y)=\cfrac{P(Y|M)P(M)}{P(Y)} $$ Do you agree? Have you seen this before? Do you understand why?
ybarrap
  • ybarrap
At this point you could plug in your knowns and get your answer. But you need to know what each term represents to do that. You also need to know Baye's Theorem: https://en.wikipedia.org/wiki/Bayes%27_theorem#Statement_of_theorem $$ P(M|Y)=\cfrac{P(M\cap Y)}{P(Y)}\\ P(Y|M)=\cfrac{P(M\cap Y)}{P(M)} $$ Put these two together, you have $$ P(M|Y)=\cfrac{P(Y|M)P(M)}{P(Y)} $$ If this doesn't look familiar. You may need to review the link above.
anonymous
  • anonymous
YES! BUT MY COMPUTER IS GOING TO DIE SO LL BE ON TOMROWO MAYBE AH THANKS THOUGH
ybarrap
  • ybarrap
Baye's Theorem - read about it
kropot72
  • kropot72
|dw:1435113177031:dw| The above probability tree might help your understanding. We are given that the probability of the employee being less than 30 years old is 0.7. Therefore having calculated the probability of a randomly selected male being less then 30 years old as 0.24, if we subtract 0.24 from 0.7 we get the probability of a randomly selected female being less than 30 years old as 0.7 - 0.24 = 0.46. The probability that the employee is a male, given that the employee is less than 30 years old is then found from: \[\large P(male) = \frac{0.24}{0.70}=you\ can\ calculate\]

Looking for something else?

Not the answer you are looking for? Search for more explanations.