Pulsified333
  • Pulsified333
Assume that the class consists of 55 percent freshmen, 5 percent sophomores, 25 percent juniors, and 15 percent seniors. Assume further that 55 percent of the freshmen, 40 percent of the sophomores, 20 percent of the juniors, and 20 percent of the seniors plan to go to medical school. One student is selected at random from the class. (1) What is the probability that the student plans to go to medical school? .4125 (2) If the student plans to go to medical school, what is the probability that he is a sophomore? .02/.4125
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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Pulsified333
  • Pulsified333
Tell me why the answer I got are wrong please
Pulsified333
  • Pulsified333
@dan815
BAdhi
  • BAdhi
can you tell us how you tried to solve this problem?

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More answers

Pulsified333
  • Pulsified333
using a tree but it obviously did not work
BAdhi
  • BAdhi
first try to write the given information in a notatio.. freshman = f junior = j sophomore = so senior = s the following are given,\[P(f), P(s), P(so), P(j)\] And also if selecting medicine is m \[P(m|j) = 0.2, P(m|s) = 0.2\] The question asks for probability of the selected student hopes to do medicine -> P(m) use the conditional probability equations to obtain that
Pulsified333
  • Pulsified333
I did that
Pulsified333
  • Pulsified333
I did (.55*.55)+(.05*.4)+(.25*.2)+(.2*.2)
BAdhi
  • BAdhi
Is it wrong?
Pulsified333
  • Pulsified333
wait i think i see my mistake
Pulsified333
  • Pulsified333
wait I have no clue what I did
BAdhi
  • BAdhi
\[P(m) = P(m\cap s) + P(m \cap j) +\cdots\\ = P(m|s)P(s) + P(m|j)P(j)+ \cdots\] so i think its same as what youve done the answer should be correct.. does it give a correct answer?
Pulsified333
  • Pulsified333
yeah when I get the correct answer but it isn't
BAdhi
  • BAdhi
what does it state as the correct answer?
Pulsified333
  • Pulsified333
It doesn't. It will only say if its correct when I get the correct answer
BAdhi
  • BAdhi
I think your answer is correct :(
kropot72
  • kropot72
@Pulsified333 "I did (.55*.55)+(.05*.4)+(.25*.2)+(.2*.2)" The last term in brackets should be .......+(.15 * .2). With this correction the sum of the terms is 0.4025 which is the probability that the student plans to go to medical school.
Pulsified333
  • Pulsified333
why (.15*.2)
Pulsified333
  • Pulsified333
@dan815
Pulsified333
  • Pulsified333
its the correct answer but why?
kropot72
  • kropot72
The question states that 15% of the class is seniors, and 20% of the seniors plan to go to medical school. The intersection of P(senior) and P(med.school|senior) = .15 * .2.
Pulsified333
  • Pulsified333
oh! that makes sense now :D
kropot72
  • kropot72
This is the same way that you have correctly calculated the values of the other three intersections.
Pulsified333
  • Pulsified333
oh okay
kropot72
  • kropot72
You're welcome :)
Pulsified333
  • Pulsified333
thank you

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